The present list is divided into the following sections:
[B9] D. Alpay, F. Colombo and I. Sabadini. Quaternionic de Branges spaces and characteristic operator function. SpringerBriefs in Mathematics, Springer (2020).
[B8] D. Alpay, F. Colombo and I. Sabadini. Slice hyperholomorphic Schur analysis. Operator Theory: Advances and Applications, vol. 256, 2016.
[B7] D. Alpay. A Complex analysis problem book (Birkhäuser), second edition, 2016.
[B6] D. Alpay. An advanced complex analysis problem book. Topological Vector Spaces, Functional Analysis, and Hilbert spaces of analytic functions. Birkhäuser (2015).
[B5] D. Alpay, M.E. Luna-Elizarraràs, M. Shapiro and D.C. Struppa. Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis. SpringerBriefs in Mathematics, Springer (2014).
[B4] D. Alpay. A Complex analysis problem book, (2011) Birkhäuser.
[B3] D. Alpay. The Schur algorithm, reproducing kernel spaces and system theory (Translation of book [B2] below), volume 5, SMF/AMS Texts and Monographs of the Société mathématique de France (2001).
[B2] D. Alpay. Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes. Panoramas et Synthèses, volume 6, Société mathématique de France (1998).
[B1] D. Alpay, A. Dijksma, J. Rovnyak and H. de Snoo. Schur functions, operator colligations and reproducing kernel Pontryagin spaces. Volume 96 in the series Operator Theory: Advances and Applications (1997).
[301] D. Alpay, F. Colombo, K. Diki, I. Sabadini and D. Struppa. Hörmander L2 method ∂-problem and polyanalytic function theory in one complex variable. Complex analysis and operator theory. Accepted. To appear.
[300] D. Alpay, A. Pinhas and V. Vinnikov. Commuting operators over Pontryagin spaces with application to system theory. Journal of functional analysis. Accepted. To appear.
[299] D. Alpay, K. Diki and M. Vajiac. A note on the complex and bicomplex neural networks. Applied Mathematics and Computations. Accepted. To appear.
[298] N. Mor, D. Alpay and M.Mboup. Scale-shift and harmonic analysis approach to the Mellin transform for discrete-time signals. Signal Processing. Accepted. To appear.
[297] D. Alpay, P. Jorgensen and I. Lewkowicz. Representation theory and multilevel filters. Journal of Applied Mathematics and Computing. Accepted. To appear.
[296] D. Alpay, F. Colombo, K. Diki and I. Sabadini. An approach to the Gaussian RBF kernels via Fock spaces. Journal Math. Phys. 63, 112506 (2022)
[295] D. Alpay, F. Colombo, K. Diki and I. Sabadini. Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. Integral Equations and Operator Theory, vol. 94 no 4, Paper no 35, 43 p. (2022).
[294] D. Alpay and P. Jorgensen. Reflection positivity via Krein space analysis. Advances in Applied Mathematics, vol. 141, Article ID 102411. 45 pages.
[293] D. Alpay, F. Colombo, K. Diki, I. Sabadini and D. Volok. Discrete analytic functions, structured matrices and a new family of moment problems. Bulletin des sciences mathématiques, vol. 179 Article ID 103175, 70 pages (2022).
[292] D. Alpay, P. Jorgensen and M. Porat. White noise space analysis and multiplicative change of measures. Journal of Mathematical Physics, vol. 63 (2022), no 4, Paper no 042102, 23 pp..
[291] D. Alpay, F. Colombo, I. Sabadini and B. Schneider. Beurling-Lax type theorems and Cuntz relations. Linear Algebra and its Applications, vol. 633, pp. 152-212 (2022)
[290] D. Alpay, P. Cerejeiras and U. Kaehler. Generalized white noise analysis and topological algebras. Stochastics: An International Journal Of Probability And Stochastic Processes. vol. 94, no 6, 926-958 (2022).
[289] D. Alpay and P. Jorgensen. mu-Brownian motion, dualities, diffusions, transforms, and reproducing kernel spaces. Journal of Theoretical Probability, vol. 35 no 4, 2757-2783.
[288] D. Alpay, F. Colombo, K. Diki and I. Sabadini. Poly slice monogenic functions, Cauchy formulas and the PS-functional calculus. Journal of Operator Theory, pp. 309-364 (2022).
[287] D. Alpay and D. Volok. Discrete analytic Schur functions. Proceedings of the AMS, vol. 150 No 5, 2145-2152 (2022).
[286] D. Alpay, P. Cerejeiras and U. Kaehler. Generalized Grassman algebras and applications to stochastic processes. Mathematical Methods in the Applied Sciences, vol. 45 (2022), no 1, 383-401.
[285] D. Alpay, K. Diki, and I. Sabadini. Fock and Hardy spaces: the Clifford Appell case. Mathematische Nachrichten, vol. 295 (2022), no 5, 834-860..
[284] D. Alpay, F. Colombo, S. Pinton and I. Sabadini. Holomorphic functions, relativistic sum, Blaschke products and superoscillations. Analysis and Mathematical Physics, vol. 11, paper 139, 28p. (2021)
[283] D. Alpay, K. Diki, and I. Sabadini. On the global operator and Fueter mapping theorem for slice polyanalytic functions. Analysis and applications, vol. 19, pp. 941-964 (2021)
[282] D. Alpay, F. Colombo, K. Diki and I. Sabadini. On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis. Integral Equations and Operator Theory, vol. 93, no. 4, paper no. 38, 63 p. (2021).
[281] D. Alpay and A. Yger. Cauchy-Weil formula, Schur-Agler classes, new Hardy spaces of the polydisk and interpolation problems. Journal of mathematical analysis and applications, vol. 504, no. 2, 29p. (2021).
[280] D. Alpay, F. Colombo, S. Pinton, I. Sabadini and D. Struppa. Infinite order differential operators acting on entire hyperholomorphic functions. Journal of Geometric Analysis, vol. 31, no 10, 9768-9799 (2021).
[279] D. Alpay, P. Cerejeiras and U. Kaehler. Krein reproducing kernel modules in Clifford analysis. Journal d'Analyse Mathématique, vol. 143, no. 1, 253-288 (2021).
[278] D. Alpay and H.T. Kaptanoglu. Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality. J. Funct. Anal. 281 (2021), no. 4, 109058.
[277] D. Alpay and P. Jorgensen. New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry. Opuscula Mathematica, vol. 41 (2021), 283-300.
[276] D. Alpay, F. Colombo and I. Sabadini. Superoscillations and analytic extension. Journal of Fourier Analysis and Applications, vol. 27 (2021), Paper No. 28, 19pp. .
[275] D. Alpay and I. Lewkowicz. Quantitatively Hyper-Positive Real Functions. Linear Algebra and Its Applications, vol. 623 (2021) 316-334.
[274] D. Alpay, A. Pinhas and V. Vinnikov. de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem. Advances in Mathematics, vol. 373 (2020), 107315, 67 pp.
[273] D. Alpay, F. Colombo, I. Lewkowicz and I. Sabadini. On Pseudo-Spectral Factorization over the Complex Numbers and Quaternions. Linear Algebra and its Applications vol. 606 (2020), 90-126.
[272] D. Alpay, F. Colombo, I. Sabadini and D. Struppa. Aharonov- Berry superoscillations in the radial harmonic oscillator potential. Quantum Studies: Mathematics and Foundations, vol. 7 (2020), no 3, 269-283.
[271] D. Alpay and A. Pinhas. Stochastic Wiener filter in the white noise space. Opuscula Mathematica, vol. 40, no. 3 (2020), 323-339.
[270] D. Alpay, A. Dijksma and J. Rovnyak. On Nudel'man's problem and indefinite interpolation in the generalized Schur and Nevanlinna classes. Complex Analysis and Operator Theory, vol. 14 (2020) no. 1, Art. 25, 30pp.
[269] D. Alpay, V. Bolotnikov and D. Shoikhet. Pseudo-contractions, rigidity, fixed points and related questions. Analysis and Mathematical Physics, vol. 10 (2020), no 1, Art. 7, 26 pp.
[268] D. Alpay and I. Paiva. On the extension of positive definite kernels to topological algebras. Journal of Mathematical Physics, vol. 61 (2020) 063507, 10pp.
[267] D. Alpay, I. Paiva and D.C. Struppa. A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics. Israel Journal of Mathematics, vol. 236 (2020), no. 1, pp. 207-246.
[266] D. Alpay, F. Colombo and I. Sabadini. Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case. Indagationes Mathematicae, vol. 31 (2020), no. 4, pp. 607-628.
[265] D. Alpay, F. Colombo and I. Sabadini. The Fock space as a de Branges-Rovnyak space. Integral Equations and Operator Theory 91 (2019), no 6, Art. 51, 12 pp.
[264] D. Alpay and I. Lewkowicz. Realization of tensor product and of tensor-factorization of rational functions. Quantum Studies: Mathematics and Foundations, vol. 6 (2019), no. 3, 269-278.
[263] D. Alpay and I. Lewkowicz. Composition of Rational Function: State-Space Realization and Applications. Linear Algebra and Its Applications, vol. 580 (2019) 359-383
[262] D. Alpay, I. Paiva and D.C. Struppa. Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra. Integral Equations and Operator Theory, vol. 91 (2019), no. 2, 91:8.
[261] D. Alpay, I. Paiva and D.C. Struppa. Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra. Journal of Mathematical Physics. 60 (2019), no. 1, 013508, 21 pp.
[260] D. Alpay, F. Colombo, I. Lewkowicz and I. Sabadini. Positive and generalized positive real lemma for slice hyperholomorphic functions. Integral Equations and Operator Theory, vol. 91 (2019), no. 1, Art. 4, 22 pp.
[259a] D. Alpay, K. Diki, and I. Sabadini. Correction to: On Slice Polyanalytic Functions of a Quaternionic Variable. Results Math. 76 (2021), no. 2, 84.
[259] D. Alpay, K. Diki, and I. Sabadini. On slice polyanalytic functions of a quaternionic variable. Results in Mathematics, vol. 74 (2019), no. 1, Art. 17, 25 pp.
[258] D. Alpay, F. Colombo, and I. Sabadini. Herglotz functions: The Fueter variables case. Linear Algebra and Its Applications, vol. 563 (2019), 75-97.
[257] D. Alpay, A. Dijksma and J. Rovnyak. Corrigendum to ``Notes on interpolation in the generalized Schur class. II. Nudel'man's problem''. Transactions of the AMS, vol. 371 (2019), 3743-3745
[256] D. Alpay and A. Yger. About a Non-Standard Interpolation Problem. Computional Methods and Function Theory, vol. 18 (2019), no.1, 97-115.
[255] Kh. Abu-Ghanem, D. Alpay, F. Colombo, I. Lewkowicz and I. Sabadini. Herglotz functions of several quaternionic variables. Journal of Mathematical analysis and applications, vol. 466 (2018), 169-182.
[254] D. Alpay and M. Porat. Generalized Fock spaces and the Stirling numbers. Journal of Mathematical Physics, vol. 59 (2018) no 6, 063509, 12 pp.
[253] D. Alpay, A. Vajiac and M. Vajiac. Gleason's problem associated to a real ternary algebra and applications. Advances in Applied Clifford Algebras, vol. 28 (2018), no. 2, Art. 43, 16 pp.
[252] D. Alpay, M.E. Luna-Elizarraràs, M. Shapiro and D.C. Struppa. Gleason problem, rational functions and spaces of regular functions: The split-quaternion case. Israel Journal of Mathematics (2018), no. 1, 319-349.
[251] D. Alpay and I. Lewkowicz. "Wrong" Side Interpolation by Low Degree Positive Real Rational Functions. Linear Algebra and Its Applications, vol. 539 (2018), pp. 175-197.
[250] D. Alpay and S.Gabriyelyan. Positive definite functions and dual pairs of locally convex spaces. Opuscula Mathematica, vol. 38 (2018), pp. 463-482.
[249] D. Alpay, P. Jorgensen, and I. Lewkowicz. W-Markov measures, transfer operators, wavelets and multiresolutions, Contemporary Mathematics volume 706 (2018), pp. 293-343.
[248] D. Alpay, F. Colombo, and I. Sabadini. On slice hyperholomorphic fractional Hardy spaces. Mathematische Nachrichten, vol. 290 (2017) pp. 2725-2739.
[247] D. Alpay, F. Colombo, I. Sabadini and T. Qian. Adaptative decomposition: The case of the Drury-Arveson space. Journal of Fourier Analysis and Applications, vol. 23 (2017) pp. 1426-1444.
[246] D. Alpay, P. Cerejeiras and U. Kaehler. Gleason's problem associated to the fractional Cauchy-Riemann operator, Fueter series, Drury-Arveson space and related topics. Proceedings of the AMS, vol. 145 (2017), no. 11, 4821-4835.
[245] D. Alpay, P. Jorgensen and D. Levanony. On the equivalence of probability spaces. Journal of Theoretical Probability, vol. 30 (2017), 817-841
[244] D. Alpay and I.Sabadini. Beurling-Lax type theorems in the complex and quaternionic setting. Linear Algebra and its Applications, vol. 530 (2017) pp 15-46.
[243] D. Alpay, M.E. Luna-Elizarraràs and M. Shapiro. Kolmogorov's axioms for probabilities with values in hyperbolic numbers. Advances in Applied Clifford Algebras, vol. 27 (2017) pp. 913-929.
[242] D. Alpay, F. Colombo, and I. Sabadini. On a class of quaternionic positive definite functions and their derivatives. Journal of Mathematical Physics, vol. 58 (2017), no. 3, 033501, 15 pp.
[241] D. Alpay, F. Colombo, J. Gantner and D. Kimsey. Functions of the infinitesimal generator of a strongly continuous quaternionic group. Analysis and Applications vol. 15 (2017), 279-311.
[240] D. Alpay, F. Colombo, I. Sabadini and T. Qian. Adaptive orthonormal systems for matrix-valued functions. Proceedings of the AMS, vol. 145, number 5 (2017), no. 5, 2089-2106.
[239] D. Alpay, P. Jorgensen, and I. Lewkowicz. Characterizations of families of rectangular, finite impulse response, para-unitary systems. Journal of Applied Mathematics and Computing (2017) volume 54: 395-423.
[238] D. Alpay, P. Jorgensen, and I. Lewkowicz. Characterizations of rectangular (para)-unitary rational functions. Opuscula Mathematica, vol. 36 (2016), 695-716.
[237] D. Alpay, V. Bolotnikov, F. Colombo and I. Sabadini. Interpolation problems for certain classes of slice hyperholomorphic functions. Integral Equations and Operator Theory, vol. 86 (2016), 165-183.
[236] D. Alpay, F. Colombo, I. Sabadini and T. Qian. The $H^\infty$ functional calculus based on the $S$-spectrum for quaternionic operators and for $n$-tuples of noncommuting operators. Journal of functional analysis, vol. 271, (2016), 1544-1584.
[235] D. Alpay, M. Bozejko, F. Colombo, D. Kimsey and I. Sabadini. Boolean convolution in the quaternionic setting. Linear Algebra and its applications, vol. 506 (2016), 382-412.
[234] D. Alpay, F. Colombo, D. Kimsey and I. Sabadini. Quaternion-valued positive definite functions on locally compact Abelian groups and nuclear spaces. Applied Mathematics and Computation, vol. 286 (2016), 115-125.
[233] D. Alpay, F. Colombo, D. Kimsey and I. Sabadini. The Spectral Theorem for Unitary Operators Based on the S-Spectrum. Milan Journal of Mathematics, vol. 84 (2016), 41-61.
[232] D. Alpay, F. Colombo and D. Kimsey. The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum. Journal of Mathematical Physics, vol. 57 (2016), no 2, 023503, 27pp.
[231] D. Alpay, F. Colombo, D. Kimsey and I. Sabadini. Wiener algebra for the quaternions. Mediterrean Journal of Mathematics, vol. 13 (2016), no 2, 2463-2482.
[230] D. Alpay, P. Jorgensen, I. Lewkowicz, and D. Volok. A new realization of rational functions, with applications to linear combination interpolation. Complex Variables and Elliptic Equations, vol. 61 (2016), no. 1, 42-54.
[229] D. Alpay, P. Jorgensen and D. Kimsey. Moment problems in an infinite number of variables. Infinite Dimensional Analysis and Quantum Probability, vol. 18 (2015), no. 4, 1550024, 14 pp.
[228] D. Alpay and G. Salomon. On algebras which are inductive limits of Banach spaces. Integral Equations and Operator Theory, vol. 83, Issue 2 (2015), pp. 211-229.
[227] D. Alpay and P. Jorgensen. Spectral theory for Gaussian processes: Reproducing kernels, random functions, boundaries, and L2-wavelet generators with fractional scales. Numerical Functional Analysis and Optimization. 36 (2015), no. 10, 12
[226] D. Alpay and A. Kipnis. Wiener-Chaos Approach to Optimal Prediction. Numerical Functional Analysis and Optimization, vol. 36 (2015), no. 10, 1286-1306.
[225] D. Alpay, F. Colombo and I. Sabadini. Schur analysis in the quaternionic setting: The Fueter regular and slice regular case. Operator Theory (Volume 2), SpringerReference, Springer, (2015) pp. 1745-1786.
[224] D. Alpay, P. Jorgensen, and I. Lewkowicz. Realizations of Infinite Products, Ruelle Operators and Wavelet Filters. Journal of Fourier Analysis and Applications, vol. 21 (2015), 1034-1052.
[223] D. Alpay, F. Colombo, I. Lewkowicz and I. Sabadini. Realization of slice hyperholomorphic generalized contractive and positive functions. Milan Journal of Mathematics, vol. 83 (2015), no. 1, 91-144.
[222] D. Alpay, F. Colombo and I. Sabadini. Quaternionic Hardy spaces in the open unit ball and half space and Blaschke products. J. Phys.: Conf. Ser. 597 012009, (2015).
[221] Kh. Abu-Ghanem, D. Alpay, F. Colombo and I. Sabadini. Gleason's problem and Schur multipliers in the multivariable quaternionic setting. Journal of Mathematical Analysis and Applications, vol. 425 (2015), no. 2, 1083-1096.
[220] D. Alpay, F. Colombo, D. Kimsey and I. Sabadini. An extension of Herglotz's theorem to the quaternions. Journal of Mathematical Analysis and Applications, vol. 421 (2015), no. 1, 754-778.
[219] D. Alpay, F. Colombo and I. Sabadini. Inner product spaces and Krein spaces in the quaternionic setting., Operator Theory: Advances and Applications, vol. 244 (2015), pp. 33-65.
[218] D. Alpay, P. Jorgensen, I. Lewkowicz and I. Martziano. Infinite product representations for kernels and iteration of functions. Operator Theory: Advances and Applications, vol. 244 (2015), pp. 67-87.
[217] D. Alpay, F. Colombo, J. Gantner and I. Sabadini. A new resolvent equation for the S-functional calculus. Journal of Geometric Analysis, 25 (2015), no. 3, 1939-1968.
[216] D. Alpay, F. Colombo and I. Sabadini. Perturbation of the generator of a quaternionic evolution operator. Analysis and Applications, vol. 13 (2015), no. 4, 347-370.
[215] D. Alpay, V. Bolotnikov, F. Colombo and I. Sabadini. Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna-Pick interpolation problem. Indiana University Mathematics Journal, vol. 64 (2015), no. 1, 151-180.
[214] Kh. Abu-Ghanem, D. Alpay, F. Colombo, D. Kimsey and I. Sabadini. Boundary interpolation for slice hyperholomorphic Schur functions. Integral Equations and Operator Theory, vol. 82 (2015), 223-248.
[213] D. Alpay and P. Jorgensen. Reproducing kernel Hilbert spaces generated by the binomial coefficients. Illinois Journal of Mathematics, vol. 58 (2014), no. 2, 4
[212] D. Alpay, F. Colombo and I. Sabadini. On some notions of convergence for n-tuples of operators. Mathematical Methods in the Applied Sciences. Volume 37, Issue 16 (2014) pp. 23
[211] D. Alpay, P. Jorgensen and D. Volok. Relative reproducing kernel Hilbert spaces. Proceedings of the AMS, vol 142 (2014) no 11, 3889-3895.
[210] D. Alpay, F. Colombo, and I. Sabadini. Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization. In Hypercomplex Analysis: New perspectives and applications Trends in Mathematics (Birkhäuser, Basel), pp. 19-41 (2014).
[209] D. Alpay, F. Colombo, I. Sabadini and G. Salomon, The Fock space in the slice hyperholomorphic setting. In Hypercomplex Analysis: New perspectives and applications Trends in Mathematics (Birkhäuser, Basel), pp. 43-59 (2014)
[208] D. Alpay, P. Jorgensen and G. Salomon. On free stochastic processes and their derivatives. Stochastic Processes and their Applications, vo. 214 (2014), 3392-3411
[207] D. Alpay and I. Lewkowicz. Interpolation by polynomials with symmetries. Linear Algebra and its Applications, vol. 456 (2014), 64-81.
[206] D. Alpay, F. Colombo and I. Sabadini. Krein-Langer factorization and related topics in the slice hyperholomorphic setting. Journal of Geometric Analysis, vol. 24 (2014), no. 2, 843-872.
[205] D. Alpay, P. Jorgensen and I. Lewkowicz. Parametrizations of all wavelet filters: input-output and state-space. Sampling Theory in Signal and Image Processing (STSIP), vol. 12 (2013), pp. 159-188.
[204] D. Alpay, F. Colombo and I. Sabadini. Pontryagin de Branges-Rovnyak spaces of slice hyperholomorphic functions. Journal d'Analyse Mathématique, vol. 121 (2013), no. 1, 876371
[203] D. Alpay and A. Kipnis. A generalized white noise space approach to stochastic integration for a class of Gaussian stationary increment processes. Opuscula Mathematica, vol. 33 (2013), pp. 395-417.
[202] D. Alpay and G. Salomon. Non-commutative stochastic distributions and applications to linear systems theory. Stochastic Processes and Applications, vol. 123 (2013), pp. 2303-2322.
[201] D. Alpay and G. Salomon. Topological convolution algebras. Journal of Functional Analysis, vol. 264 (2013), pp. 2224-2244.
[200], D. Alpay, P. Jorgensen, R. Seager, and D. Volok. On discrete analytic functions: Products, Rational Functions, and Reproducing Kernels. Journal of Applied Mathematics and Computing. Volume 41, Issue 1 (2013), Page 393-426.
[199] D. Alpay, P. Jorgensen and I. Lewkowicz. Extending wavelet filters. Infinite dimensions, the non-rational case, and indefinite-inner product spaces. In Excursions in Harmonic Analysis, Volume 2, Proceedings of the February Fourier Talks (FFT 2006 -- 2011), Springer-Birkhauser Applied and Numerical Harmonic Analysis (ANHA) Book Series, (2013), pp..
[198] D. Alpay and I. Lewkowicz. Convex cones of generalized positive rational functions and Nevanlinna-Pick interpolation. Linear Algebra and its Applications, vol. 438 (2013) 3949-3966.
[197] D. Alpay, P. Jorgensen, I. Lewkowicz and I. Marziano. Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems. Multiscale signal analysis and modeling (editors Xiaoping Shen and Ahmed Zayed), Lecture Notes in Electrical Engineering (Springer), (2013), pp. 161-182.
[196] D. Alpay and G. Salomon. New topological C-Algebras with Applications in Linear Systems Theory. Infinite Dimensional Analysis and Quantum Probability, vol. 12 (2012), pp. .
[195] D. Alpay, A. Melnikov, and V. Vinnikov. On the class SI of J-contractive functions intertwining solutions of linear differential equations. Integral Equations and Operator Theory, vol. 74 (2012), no. 3, pp. 313-344.
[194] D. Alpay, A. Dijksma, H. Langer and D. Volok. A Schur transformation for functions in a general class of domains. Indagationes Mathematicae. (N.S) (2012), no. 4, pp. 921-969.
[193] D. Alpay and P. Jorgensen. Stochastic processes induced by singular operators. Numerical Functional Analysis and Optimization, vol. 33, Issue 7-9 (2012), pp. 708-735.
[192] D. Alpay, H. Attia and D. Levanony. White noise based stochastic calculus associated with a class of Gaussian processes. Opuscula Mathematica, vol. 32/3 (2012), pp. 401-422.
[191] D. Alpay, F. Colombo and I. Sabadini. Schur functions and their realizations in the slice hyperholomorphic setting. Integral Equations and Operator Theory, vol. 72 (2012), pp. 253-289.
[190] D. Alpay and H.T. Kaptanoglu. A theorem on tensor products of quaternionic Hilbert spaces and a von Neumann inequality. Complex Variables and Elliptic Functions, vol. 57 (2012), pp. 667-675.
[189] D. Alpay and H. Attia. An interpolation problem for functions with values in a commutative ring. Operator Theory: Advances and Applications, Vol. 218 (2012), pp. 1-17.
[188] D. Alpay, F.M. Correa-Romero, M.E. Luna -Elizarraràs, and M. Shapiro. On the structure of the Taylor series in Clifford and quaternionic analysis. Integral Equations and Operator Theory, vol 71 (2011) 311-326.
[187] D. Alpay and I. Lewkowicz. The positive real lemma and construction of all realizations of generalized positive rational functions. Systems and Control Letters, Volume 60 (2011), pp. 985-993.
[186] D. Alpay, P. Jorgensen and D. Levanony. A class of Gaussian processes with fractional spectral measures. Journal of Functional Analysis, Volume 261 (2011), pp. 507-541.
[185] D. Alpay, D. Levanony and A. Pinhas. Linear stochastic state space theory in the white noise space setting. SIAM Journal on Control and Optimization (SICON), Volume 48, Issue 8, pp. 5009-5027 (2010).
[184] D. Alpay and M. Mboup. Discrete-time multi-scale systems. Integral Equations and Operator Theory, vol 68 (issue 2), pp. 163-191 (2010).
[183] D. Alpay and I. Lewkowicz, An easy-to-compute factorization of rational generalized positive functions. System and Control Letters, vol 59, pp. 517- 521 (2010).
[182] D. Alpay, I. Gohberg, M.A. Kaashoek, L. Lerer and A. Sakhnovich. Krein systems and canonical systems on a finite interval: accelerants with a jump discontinuity at the origin and continuous potentials. Integral Equations and Operator Theory, vol. 68 (issue 1), pp. 115 - 150 (2010).
[181] D. Alpay, H. Attia and D. Levanony. On the characteristics of a class of Gaussian processes within the white noise space setting. Stochastic Processes and their Applications, vol. 120 (issue 7), pp. 1074-1104 (2010).
[180] D. Alpay and D. Levanony. Linear stochastic systems: A white noise approach. Acta Applicandae Mathematicae, vol. 110 (issue 2), pp. 545-572 (2010).
[179] D. Alpay, A. Dijksma, H. Langer, S. Reich and D. Shoikhet. Boundary interpolation and rigidity for generalized Nevanlinna functions. Math. Nachrichten, 283, No. 3, pp. 335-364 (2010).
[178] D. Alpay, O. Timoshenko, P. Vegulla and D. Volok. Generalized Schur functions and related de Branges - Rovnyak spaces in the Banach space setting. Integral Equations and Operator Theory, vol. 65 (2009), 449-472.
[177] D. Alpay and J. Behrndt. Generalized Q-functions and Dirichlet-to-Neumann maps for elliptic differential operators. Journal of Functional Analysis, vol. 257 (2009), no. 6, pp. 1666-1694.
[176] D. Alpay, O. Timoshenko and D. Volok. Carathéodory-Fejér interpolation in locally convex topological vector spaces. Linear Algebra and its Applications, vol. 431 (2009) pp. 1257-1266.
[175] D. Alpay, S. Reich and D. Shoikhet. Rigidity, boundary interpolation and reproducing kernels. Complex Methods in Function Theory, vol. 9 (2009), pp. 347-364.
[174] D. Alpay, A. Melnikov and V. Vinnikov. Un algorithme de Schur pour les fonctions de transfert des systèmes surdéterminés invariants dans une direction. Comptes-Rendus mathématiques (Paris). Volume 347, Issues 13-14, July 2009, Pages 729-733.
[173] D. Alpay and M. Mboup. Transformée en échelle de signaux stationnaires. Comptes-Rendus mathématiques (Paris). Volume 347, Issues 11-12, June 2009, Pages 603-608.
[172] D. Alpay, A. Dijksma and D. Volok. Schur multipliers and de Branges Rovnyak spaces: the multiscale case. Journal of Operator Theory, vol. 61 (2009), pp. 87-118.
[171] D. Alpay, I. Gohberg, M.A. Kaashoek, L. Lerer and A. Sakhnovich. Krein systems. Operator Theory: Advances and Applications, Vol. 191 (2009), 19-36.
[170] D. Alpay, A. Dijksma and H. Langer. The Schur transformation for Nevanlinna functions: operator representations, resolvent matrices, and orthogonal polynomials. Operator Theory: Advances and Applications, vol. 190 (2009), 27-63.
[169] D. Alpay and I. Gohberg. A connection between Szego sequences and Nehari sequences in the matrix-valued case. Operator Theory: Advances and Applications. Operator Theory: Advances and Applications vol 187 (2009), pp. 1-16.
[168] D. Alpay and C. Dubi. Cascade representation and minimal factorization of multidimensional systems. Systems and Control Letters, vol. 57, Issue 10, October 2008, pp. 796-799.
[167] D. Alpay, A. Dijksma and H. Langer. Augmented Schur parameters for generalized Nevanlinna functions and approximation. Operator Theory: Advances and Applications vol. 188 (2008), pp. 1-30.
[166] D. Alpay and M. Mboup. A characterization of Schur multipliers between character-automorphic Hardy spaces. Integral Equations and Operator Theory, vol. 62 (2008), pp. 455-463.
[165] D. Alpay and D. Levanony. Rational functions associated to the white noise space and related topics. Potential Analysis, vol. 29 (2008) pp. 195-220.
[164] D. Alpay, H. Attia and D. Levanony. Une généralisation de l'intégrale stochastique de Wick-Ito. Comptes-Rendus mathématiques (Paris), 346 (2008), pp. 261-265
[163] D. Alpay and D. Levanony. On the reproducing kernel Hilbert spaces associated with the fractional and bi-fractional Brownian motions. Potential Analysis, vol. 28 (2008), pp. 163-184.
[162] D. Alpay and I. Gohberg. Inverse problems for first order systems. Operator Theory: Advances and Applications vol. 179 (2008), pp. 1-24.
[161] D. Alpay, R. Buursema, A. Dijksma and H. Langer. The combined moment and interpolation problem for Nevanlinna functions, in: Operator Theory, Structured Matrices, and Dilations: Tiberiu Constantinescu Memorial Volume. International Book Series of Mathematical Texts (2007), pp. 1-28.
[160] D. Alpay, O. Timoshenko and D. Volok. Carathéodory functions in the Banach space setting. Linear Algebra and its Applications. Vol. 425 (2007), pp. 700-713.
[159] D. Alpay and I. Gohberg. Discrete systems and their characteristic spectral functions. Mediterrean Journal of Mathematics, vol. 4 (2007), pp. 1-32.
[158] D. Alpay, M-E. Luna-Elizarrarás and M. Shapiro. On the norms of quaternionic extensions of some real operators. Mathematical Methods in the Applied Sciences, vol. 30 (2007), pp. 1005-1036.
[157] D. Alpay, A. Dijksma, H. Langer and Y. Shondin. The Schur transformation for generalized Nevanlinna functions: interpolation and self-adjoint operator realizations. Complex analysis and operator theory vol. 1 (2007), pp. 169-210.
[156] D. Alpay and H.T. Kaptanoglu. Toeplitz operators on Arveson and Dirichlet spaces. Integral Equations and Operator Theory, vol. 58 (2007), pp. 1-33.
[155] D. Alpay, A. Dijksma and H. Langer. The transformation of I. Schur and related topics in an indefinite setting. Operator Theory: Advances and Applications, vol. 176 (2007), pp. 1-98.
[154] D. Alpay, F.M. Correa-Romero, M-E. Luna-Elizarrarás and M. Shapiro. Hyperholomorphic rational functions: the Clifford analysis case. Complex Variables and Elliptic Functions vol. 52 (2007), pp. 59-78.
[153] D. Alpay, A. Dijksma and H. Langer, J-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting. Linear algebra and applications, vol. 419 (2006) 675-709.
[152] D. Alpay and C. Dubi. Some remarks on the smoothing problem in a reproducing kernel Hilbert space. J. Anal. Appl. vol. 4 (2006), pp. 119-132.
[151] D. Alpay, F.M. Correa-Romero, M-E. Luna-Elizarrarás and M. Shapiro. Fonctions rationnelles et problème de Gleason associés à l'opérateur de Dirac. Comptes-Rendus Mathématiques (Paris), vol. 343 (2006) 291-295.
[150] D. Alpay, A, Ran and L. Rodman. Basic classes of matrices with respect to quaternionic indefinite inner product spaces. Linear Algebra and its Applications, vol. 416 (2006) pp. 242-269.
[149] D. Alpay, A. Dijksma, H. Langer and G. Wanjala. Basic boundary interpolation for generalized Schur functions and factorization of rational J-unitary matrix functions. Operator Theory: Advances and Applications, vol. 165, (2006), pp. 1-29.
[148] D. Alpay and I. Gohberg. Discrete analogs of canonical systems with pseudo-exponential potential. Inverse problems. Operator Theory: Advances and Applications, vol 165 (2006), pp. 31-65.
[147] D. Alpay and D. Volok. Processus stationnaires sur l'arbre dyadique: prédiction et extension de covariance. Comptes-Rendus Mathématiques (Paris), vol. 342 (2006), pp. 237-241.
[146] D. Alpay and I. Gohberg. Discrete analogs of canonical systems with pseudo-exponential potential. Definitions and formulas for the spectral matrix functions. Operator Theory: Advances and Applications, vol. 161 (2006), pp. 1-47.
[145] D. Alpay, M. Shapiro and D. Volok. Reproducing kernel spaces of series of Fueter polynomials. Operator Theory: Advances and Applications, vol. 162 (2006), pp. 19-45.
[144] D. Alpay, H. Attia and D. Volok, Realization theorems for stationary multiscale systems. Linear Algebra and its Applications, vol. 412 (2006), pp.326-347.
[143] D. Alpay and D. Kalyuzhnyi-Verbovetzkii, Matrix-J-unitary non-commutative rational formal power series. Operator Theory: Advances and Applications, vol. 161 (2006), pp.49-113.
[142] D. Alpay, P. Dewilde and D. Volok. Interpolation and approximation of quasi-separable systems - the Schur-Takagi case. Calcolo, vol. 42 (2005) pp. 139-156.
[141] D. Alpay and D. Volok, Point evaluation and Hardy space on a homogeneous tree. Integral Equations and Operator Theory, vol. 53 (2005), pp. 1-22.
[140] D. Alpay and C. Dubi. On commuting operators solving Gleason's problem. Proceedings of the AMS, vol. 133 (2005), pp. 3285-3293.
[139] D. Alpay, M-E. Luna-Elizarrarás and M. Shapiro. Normes des extensions quaternioniques d'opérateurs réels. Comptes-Rendus Mathématiques (Paris), vol 340 (2005), pp. 639-643.
[138] D. Alpay, A. Dijksma and D. Volok, Évaluation ponctuelle et espace de Hardy: le cas multi-échelle. Comptes-Rendus Mathématiques (Paris), vol. 340 (2005), 415-420.
[137] D. Alpay, M. Shapiro and D. Volok. Rational hyperholomorphic functions in R4. Journal of Functional Analysis, vol. 221 (2005) pp. 122-149.
[136] D. Alpay and D. Kalyuzhnyi-Verbovetzkii, On the intersection of null spaces for matrix substitutions in a non-commutative rational formal power series. Comptes-Rendus Mathématiques (Paris), vol. 339 (2004) pp. 533-538.
[135] D. Alpay, T. Azizov, A. Dijksma, H. Langer and G. Wanjala. The Schur algorithm for generalized Schur functions IV: unitary realizations. Operator Theory: Advances and Applications, vol. 149 (2004) pp 23-45.
[134] D. Alpay and M. Shapiro. Reproducing kernel quaternionic Pontryagin spaces. Integral Equations and Operator Theory, vol. 50 (2004) pp. 431-476.
[133] D. Alpay, A. Dijksma and H. Langer. Factorization of J-unitary matrix-polynomials on the line and a Schur algorithm for generalized Nevanlinna functions. Linear Algebra and its applications, vol. 387 (2004) pp. 313-342.
[132] D. Alpay and I. Gohberg, Pairs of self-adjoint operators and their invariants. Algebra i Analiz, vol. 16 (2004), pp. 70-120.
[131] D. Alpay and C. Dubi, Carathéodory Fejér interpolation in the ball with mixed derivatives. Linear Algebra and its applications, vol. 382 (2004) 117-133.
[130] D. Alpay, M. Shapiro and D. Volok, Espaces de de Branges Rovnyak et fonctions de Schur: le cas hyper-analytique. Comptes-Rendus Mathématiques (Paris), vol. 338 (2004), 437-442.
[129] D. Alpay and M. Shapiro. Gleason's problem and tangential homogeneous interpolation for hyperholomorphic quaternionic functions. Complex Variables, vol. 48 (2003) pp. 877-894.
[128] D. Alpay, A. Dijksma and J. Rovnyak. A theorem of Beurling-Lax type for Hilbert spaces of functions analytic in the unit ball. Integral Equations and Operator Theory, vol. 47 (2003) 251-274.
[127] D. Alpay, T. Azizov, A. Dijksma, H. Langer and G. Wanjala. A basic interpolation problem for generalized Schur functions and coisometric realizations. Operator Theory: Advances and Applications, vol. 143 (2003) 39-76.
[126] D. Alpay and T. Mills. A family of Hilbert spaces which are not reproducing Kernel Hilbert spaces. Journal of Analysis and Applications, vol. 1 (2003) 107-111.
[125] D. Alpay, T. Azizov, A. Dijksma and H. Langer. The Schur algorithm for generalized Schur functions III: Reproducing kernels. Linear Algebra and its applications, vol. 369 (2003) 113-144.
[124] D. Alpay and C. Dubi. Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball. Linear Algebra and its applications, vol. 371 (2003) 277-285.
[123] D. Alpay, B. Schneider, M. Shapiro and D. Volok. Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique. Comptes-Rendus de l'Académie des Sciences (Paris), vol. 336 (2003) 975-980.
[122] D. Alpay and C. Dubi. A realization theorem for rational functions of several complex variables. Systems and Control Letters, Volume 49, Issue 3 (2003) pp. 225-229.
[121] D. Alpay and D. Volok. Interpolation et espace de Hardy sur l'arbre homogène dyadique: le cas stationnaire. Comptes-Rendus de l'Académie des Sciences (Paris), vol. 336 (2003) 293-298.
[120] D. Alpay, M. Putinar and V. Vinnikov. A Hilbert space approach to bounded analytic extension in the ball. Communications in Pure and Applied Analysis, vol. 2 (2003) pp. 139-145.
[119] D. Alpay, T. Constantinescu, A. Dijksma and J. Rovnyak. Notes on Interpolation in the Generalized Schur Class. II. Nudelman's Problem. Transactions of the AMS, vol. 355 (2003), no. 2, pp. 813-836.
[118] D. Alpay and I. Gohberg. A trace formula for canonical differential expressions. Journal of Functional Analysis, vol. 197 (2003), pp. 489-525.
[117] D. Alpay and C. Dubi. Carathéodory-Fejér interpolation in the ball. Linear Algebra and its applications, vol. 359 (2003), pp. 1-19.
[116] D. Alpay, T. Azizov, A. Dijksma and H. Langer. The Schur algorithm for generalized Schur functions II: Jordan chains and transformation of characteristic functions. Monatshefte fur Mathematik, vol. 138 (2003), pp. 1-29.
[115] D. Alpay and M. Shapiro. Problème de Gleason et interpolation pour les fonctions hyper-analytiques. Comptes-Rendus de l'Académie des Sciences (Paris), Vol. 335 (2002) 889-894.
[114] D. Alpay and H.T. Kaptanoglu. Gleason's Problem and Homogeneous Interpolation in the Hardy Space of the Ball and in Related Reproducing Kernel Hilbert Spaces. Journal of Mathematical Analysis and Applications, Volume 276, Issue 2, 15 December 2002, Pages 654-672.
[113] D. Alpay, T. Constantinescu, A. Dijksma and J. Rovnyak. A note on interpolation in the generalized Schur class. I. Applications of realization theory. Operator Theory: Advances and Applications, vol. 134 (2002) pp. 67-97.
[112] D. Alpay, J. Ball and Y. Peretz. System theory, operator models and scattering: the time-varying case. Journal of Operator Theory, vol. 47 (2002) pp. 245-286.
[111] D. Alpay, V. Bolotnikov, A. Dijksma and B. Freydin. Nonstationary analogues of the Herglotz representation theorem for unbounded operators. Archiv der Mathematik, vol. 78 (2002) 465-474.
[110] D. Alpay, V. Bolotnikov and L. Rodman. Two-sided residue interpolation in matrix H2 spaces with symmetries: conformal conjugate involutions. Linear Algebra and its applications, vol. 351-352 (2002), 27-68.
[109] D. Alpay, A. Dijksma and H. Langer. On the Loewner problem in the class $N_k$. Proceedings of the AMS, 130 (2002), 2057-2066
[108] D. Alpay, A. Dijksma and J. Rovnyak. Un théorème de type Beurling-Lax dans la boule unité. Comptes-Rendus de l'Académie des Sciences (Paris) vol. 334 (2002) 349-354
[107] D. Alpay, V. Bolotnikov, A. Dijksma and J. Rovnyak. Some extensions of Loewner's theory of monotone operator functions. Journal of Functional Analysis Vol. 189 (2002), 1-20
[106] D. Alpay and V. Vinnikov. Finite dimensional de Branges spaces on Riemann surfaces. Journal of Functional Analysis, vol. 189 (2002) 283-324.
[105] D. Alpay, V. Bolotnikov, and H.T. Kaptanoglu. The Schur algorithm and reproducing kernel Hilbert spaces in the ball. Linear Algebra and Applications, vol. 342 (2002) 163-186.
[104] D. Alpay and C. Dubi. Boundary interpolation in the ball. Linear Algebra and Applications, vol. 340 (2002) pp. 33-54.
[103] D. Alpay and H.T. Kaptanoglu. Some finite dimensional backward-shift invariant subspaces in the ball and a related interpolation problem. Integral Equations and Operator Theory, vol. 42 (2002) pp.1-21.
[102] D. Alpay, V. Bolotnikov, P. Dewilde and A. Dijksma. Brune sections in the nonstationary case. Linear Algebra and Applications, 343-344 (2002), 389-418.
[101] D. Alpay and V. Vinnikov. Fonctions de Carathéodory sur une surface de Riemann et espaces à noyau reproduisant associés. Comptes-Rendus de l'Académie des Sciences (Paris), vol. 333 (2001) 523-528.
[100] D. Alpay, T. Azizov, A. Dijksma and J. Rovnyak. Colligations in Pontryagin spaces with a symmetric characteristic function. Operator Theory: Advances and Applications, vol. 130 (2001) 55-82
[99] D. Alpay, T. Azizov, A. Dijksma and H. Langer. The Schur algorithm for generalized Schur functions I: coisometric realizations. Operator Theory: Advances and Applications, vol. 129 (2001), p. 1-36.
[98] D. Alpay and I. Gohberg. Inverse problems associated to a canonical differential system. Operator Theory: Advances and Applications, vol. 127 (2001), pp. 1-27.
[97] D. Alpay and H.T. Kaptanoglu. Integral Formulas for a Nevanlinna-Pick Reproducing Kernel Hilbert Space. Comptes-Rendus de l'Académie des Sciences (Paris), vol. 333 (2001), pp. 285-290.
[96] D. Alpay, V. Bolotnikov and L. Rodman. Two-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions on Polydisks. Operator Theory: Advances and Applications, vol. 124 (2001) 21-62.
[95] D. Alpay, A. Dijksma and Y. Peretz. Nonstationary analog of the Herglotz representation theorem: realizations centered at an arbitrary point. Operator Theory: Advances and Applications, vol 124 (2001) 63-87.
[94] D. Alpay, A. Dijksma, J. Rovnyak and H. de Snoo. Realization and factorization in reproducing kernel Pontryagin spaces. Operator Theory: Advances and Applications, vol. 123 (2001) pp. 43-65.
[93] D. Alpay, A. Chevreuil and Ph. Loubaton. An extension problem for discrete time periodically correlated stochastic processes. Journal of Time series analysis, vol. 22 (2001) pp. 1-11.
[92] D. Alpay, V. Bolotnikov, A. Dijksma and Y. Peretz. A coisometric realization for triangular integral operators. Operator Theory: Advances and Applications, vol. 122 (2001) pp. 13-52.
[91] D. Alpay, V. Bolotnikov, A. Dijksma, and C. Sadosky. Hilbert spaces contractively included in the Hardy space of the bidisk, Positivity, vol. 5 (2001), pp. 25-50.
[90] D. Alpay and H.T. Kaptanoglu. Sous espaces de codimension finie dans la boule unité et un problème de factorisation. Comptes-Rendus de l'Académie des Sciences (Paris), vol. 331 (2000), pp. 947-952.
[89] D. Alpay and E. Tsekanovskii. Subclasses of Herglotz-Nevanlinna matrix-valued functions and linear systems. Special issue of Discrete and Continuous Dynamical Systems, (The Proceedings of the Kennesaw Conference), (2000) pp. 1-13.
[88] D. Alpay and Y. Peretz. Quasi-coisometric realizations of upper triangular matrices. Fields Institute Publications (American Mathematical Society), vol. 25 (2000), 139-149.
[87] D. Alpay and I. Gohberg. Connections between the Caratheodory-Toepliz and the Nehari extension problems; The discrete scalar case. Integral Equations and Operator Theory, vol. 37 (2000), 125-142.
[86] D. Alpay, J. Ball and V. Bolotnikov, On the bitangential interpolation problem for contractive valued functions in the polydisk. Journal of Operator Theory., vol. 44 (2000), 277-301.
[85] D. Alpay and Y. Peretz. Realizations for Schur upper triangular operators centered at an arbitrary point. Integral Equation and Operator Theory, vol. 37 (2000), pp. 251-323.
[84] D. Alpay. I. Gohberg, R. Kaashoek and A. Sakhnovich. Direct and inverse scattering problem for canonical systems with a strictly pseudo-exponential potential. Math. Nachrichten, vol. 215 (2000), pp. 5-31.
[83] D. Alpay and E. Tsekanovskii. Interpolation theory in sectorial Stieltjes classes and explicit system solutions. Linear Algebra and its applications, vol. 314 (2000) pp. 91-136.
[82] D. Alpay and V. Vinnikov. Indefinite Hardy spaces on bordered Riemann surfaces. Journal of Functional Analysis, vol. 172 (2000) pp. 221-248
[81] D. Alpay, V. Bolotnikov, P. Dewilde and A. Dijksma. Sections de Brune en theorie des systemes non stationnaires. Comptes-Rendus de l'Académie des Sciences (Paris), vol. 330 (2000) pp. 173-178.
[80] D. Alpay, B. Freydin and Ph. Loubaton. An extension problem for discrete-time almost periodically correlated stochastic processes. Linear Algebra and its applications (308) 1-3 (2000) pp. 163-181.
[79] D. Alpay and V. Khatskevich. Linear fractional transformations: basic properties, applications to spaces of analytic functions and Schroeder's equation. International Journal of Applied Mathematics, vol 4 (2000) pp 459-476.
[78] D. Alpay, A. Dijksma and H. Langer. Classical Nevanlinna-Pick interpolation with real interpolation points. Operator Theory: Advances and Applications, vol. 115 (2000) pp 1-50.
[77] D. Alpay and V. Bolotnikov. On two-sided interpolation for upper triangular matrices. Electronic Journal of Algebra (ELA), vol. 6 (1999/2000) pp 31-55.
[76] D. Alpay, V. Bolotnikov and L. Rodman. One-Sided Tangential Interpolation for Operator-Valued Hardy Functions on Polydisks. Integral Equation and Operator Theory 35 (1999), no. 3, 253-270.
[75] D. Alpay, A. Dijksma and Y. Peretz. Nonstationary analogues of the Herglotz representation theorem: the discrete case. Journal of Functional Analysis, vol. 166 (1999), pp. 85-129.
[74] D. Alpay and V. Bolotnikov. On tangential interpolation problem for matrix-valued H2 functions of two variables. Proceedings of the AMS, vol. 127 (1999), pp. 1789-1799.
[73] D. Alpay and V. Bolotnikov. Carathéodory-Fejér problems for pairs of meromorphic function. Math. Nachrichten, vol. 199 (1999) pp. 17-69.
[72] D. Alpay and J. Rovnyak. Loewner's theorem for kernels having a finite number of negative squares. Proceedings of the AMS, vol. 127 (1999) pp. 1109-1117.
[71] D. Alpay. A structure theorem for reproducing kernel Pontryagin spaces. In: Journal of Computational and Applied Mathematics, vol. 99, pp. 413-422 (1998).
[70] D. Alpay, V. Bolotnikov, B. Freydin and Y. Peretz. On bitangential interpolation in the time varying setting for Hilbert-Schmidt operators: the continuous case. Journal of Mathematical Analysis and Applications, vol. 228 (1998) pp. 275-292.
[69] D. Alpay, A. Dijksma, J. Rovnyak and H. de Snoo. Reproducing kernel Pontryagin spaces. In: Holomorphic spaces (MSRI Publications, Vol. 33) (1998), pp. 425-443
[68] D. Alpay, V. Bolotnikov, A. Dijksma, J. Rovnyak and C. Sadosky. Espaces de Hilbert inclus contractivement dans l'espace de Hardy du bidisque. Comptes-Rendus de l'Académie des Sciences (Paris) t. 326, Série I, pp. 1365-1370 (1998).
[67] D. Alpay, V. Bolotnikov and L. Rodman. Tangential interpolation with symmetries and two-points interpolation for matrix-valued $H_2$-functions. Integral Equation and Operator Theory, vol. 32 (1998) 1-28.
[66] D. Alpay and I. Gohberg. Inverse problem for Sturm Liouville operators with rational reflection coefficient. Integral Equations and Operator Theory, vol. 30 (1998) pp. 317-325.
[65] D. Alpay and V. Bolotnikov. On two-sided interpolation for upper triangular Hilbert Schmidt operators. Integral Equations and Operator Theory vol. 31 (1998) 259-286.
[64] D. Alpay, V. Bolotnikov and A. Dijksma. On the Nevanlinna-Pick interpolation problem for generalized Stieltjes functions. Integral Equations and Operator Theory, vol. 30 (1998) pp. 379-408.
[63] D. Alpay, V. Bolotnikov and Ph. Loubaton. On a new positive extension problem for block Toeplitz matrices. Linear Algebra and its Applications, vol. 268 (1998) pp 247-287.
[62] D. Alpay and Y. Peretz. Realizations for Schur upper triangular operators. Operator Theory: Advances and Applications, vol. 106 (1998) 37-90.
[61] D. Alpay and I. Gohberg. State space method for inverse spectral problem. In: Systems and Control in the Twenty-First Century Progress in systems and control theory PSCT 22 (1997) pp. 1-16.
[60] D. Alpay, V. Bolotnikov and Ph. Loubaton. Dissipative periodic systems and symmetric interpolation in Schur classes. Archiv der Mathematik, vol. 68 (1997) 371-387.
[59] D. Alpay, V. Bolotnikov and Ph. Loubaton. On interpolation for Hardy functions in a certain class of domains under moment type constraints. Houston Journal of Mathematics, vol. 23 (1997) pp. 539-571.
[58] D. Alpay and I. Gohberg. Potential associated to rational weights. Operator Theory: Advances and Applications, vol. 98 (1997) pp. 23-40.
[57] D. Alpay and V. Bolotnikov, On tangential interpolation in reproducing kernel modules and applications. In: Operator Theory; Advances and Applications, vol. 95 (1997) 37-68.
[56] D. Alpay, I. Gohberg and L. Sakhnovich. Inverse scattering problem for continuous transmission lines with rational reflection coefficient function. Operator Theory: Advances and Applications, vol. 87 (1996) pp. 1-16.
[55] D. Alpay and I. Gohberg. Inverse scattering problem for differential operators with rational scattering matrix functions. Operator Theory: Advances and Applications, vol. 90 (1996) pp. 1-18.
[54] D. Alpay, V. Bolotnikov and Ph. Loubaton, Interpolation with symmetries for Caratheodory functions, Zeitschrift fur Analysis und Ihrer Anwendungen, vol. 15 (1996) pp. 1-16.
[53] D. Alpay, A. Dijksma, J. Rovnyak and H. de Snoo, Fonctions de Schur, colligations d'opérateurs et espaces de Pontryagin à noyau reproduisant. Comptes-Rendus de l'Académie des Sciences (Paris). vol. 222 (1996), pp. 15-20.
[52] D. Alpay and I. Gohberg. A relationship between the Nehari problem and the Caratheodory-Toeplitz extension problem. Integral Equations and operator Theory, vol. 26 (1996) pp. 249-272.
[51] D. Alpay, V. Bolotnikov and Ph. Loubaton, On two sided residue interpolation for matrix valued H_2 functions with symmetries. Journal of mathematical analysis and applications. vol. 200 (1996) 76-105.
[50] D. Alpay, V. Bolotnikov and Ph. Loubaton, On tangential H_2 interpolation with second order norm constraints. Integral Equations and Operator Theory, vol. 24 (1996) 156-178.
[49] D. Alpay and H. Dym, On a new class of realization formulas and their application. In Linear Algebra and its Applications, Vol. 241-243, pages 3-84 (1996)
[48] D. Alpay, V. Bolotnikov, A. Dijksma and H. de Snoo, On some operator colligations and associated reproducing kernel Pontryagin spaces, Journal of functional analysis, vol. 136 (1996) pp. 39-80.
[47] D. Alpay and V. Bolotnikov. Classes of pairs of meromorphic matrix functions generated by nonnegative kernels and associated Nevanlinna-Pick problem. In: Integral Equations and Operator Theory, vol 23 (1995) pp. 245-267.
[46] D. Alpay and J. Leblond, Trace of Hardy functions and reproducing kernel Hilbert spaces. Archiv der Mathematik, vol. 64 (1995) 490-499.
[45] D. Alpay and M. Rakowski, Coisometrically valued rational matrix functions. Operator Theory: Advances and Applications. Vol 80. (1995) 1-20
[44] D. Alpay and J. Leblond, Loewner interpolation in matrix Hardy classes, Zeitschrift fur Analysis und Ihrer Anwendungen 14(1995) 225-233.
[43] D. Alpay, V. Bolotnikov and Y. Peretz, On the tangential interpolation problem for H_2 functions. Transactions of the AMS, vol. 347 (1995) pp 675-686.
[42] D. Alpay and M. Rakowski, Rational matrix functions with coisometric values on the imaginary line. Journal of mathematical analysis and its applications, vol. 194 (1995) pp 259-292
[41] D. Alpay and V. Bolotnikov, Two sided interpolation for matrix functions with entries in the Hardy space. In Linear Algebra and its Applications, Vol. 223/224 (1995) 31-56.
[40] D. Alpay and Ph. Loubaton, The partial trigonometric moment problem on an interval: the matrix case. In Linear Algebra and its Applications, Vol. 225 (1995) 141-161.
[39] D. Alpay and I. Gohberg, Inverse spectral problem for differential operators with rational scattering matrix functions, Journal of differential equations, vol. 118 (1995) 1-19.
[38] D. Alpay and V. Bolotnikov, The Carathéodory-Fejér problem for matrix-valued H2 functions. Zeitschrift fur Analysis und Ihrer Anwendungen, vol. 13 (1994) pp. 583-597.
[37] D. Alpay and V. Vinnikov, Espaces de de Branges sur des surfaces de Riemann. Comptes Rendus de l' Académie des Sciences (Paris), t. 318, pp. 1077-1082, 1994.
[36] D. Alpay and I. Gohberg, Inverse spectral problem for difference operators with rational scattering matrix functions. Integral equations and operator theory, vol. 20 (1994) 125-170.
[35] D. Alpay, J. Ball, I. Gohberg and L. Rodman. The two-sided residue interpolation problem in the Stieltjes class. In Linear Algebra and its Applications, vol. 208/209 (1994) 485-521.
[34] D. Alpay and V. Bolotnikov, On a general moment problem and certain matrix equations. In Linear Algebra and its Applications, vol. 203-204 (1994), 3-44.
[33] D. Alpay, J. Ball, I. Gohberg and L. Rodman. Automorphisms of the unitary rational functions. In Linear Algebra and its Applications, vol. 197-198 (1994) 531-566.
[32] D. Alpay, L. Baratchart and A. Gombani. On the differential structure of matrix-valued rational inner functions, Operator Theory: Advances and Applications, vol 73, pp 30-66, 1994.
[31] D. Alpay and V. Bolotnikov, On a class of functions analytic in a half-disk and an associated interpolation problem, Journal of Mathematical Analysis and Applications, vol. 182 (1994), 1-22.
[30] D. Alpay, L. Baratchart and J. Leblond. Some extremal problems linked with identification from partial frequency data, in: Analysis and optimization of systems: state and frequency domain approaches for infinite-dimensional systems (Sophia-Antipolis, 1992) Lecture Notes in Control and Information Science vol. 185, Springer, Berlin (1993), pp. 563-573.
[29] D. Alpay and Ph. Loubaton. The tangential trigonometric moment problem on an interval and related topics. In: Operator Theory; Advances and Applications, vol. 64 (1993) 1-21.
[28] D. Alpay, V. Bolotnikov, A. Dijksma and H. de Snoo. On some operator colligations and associated reproducing kernel Hilbert spaces. In: Operator Theory; Advances and Applications, vol. 61 (1993) 1-27.
[27] D. Alpay and V. Bolotnikov. Two sided Nevanlinna Pick interpolation for a class of matrix valued functions. Zeitschrift fur Analysis und Ihrer Anwendungen, vol. 12 (1993) pp. 211-238.
[26] D. Alpay and H. Dym. On a new class of structured reproducing kernel spaces, Journal of functional analysis, vol. 111 (1993), 1-28.
[25] D. Alpay and H. Dym. On a new class of reproducing kernel spaces and a new generalization of Iohvidov's laws. In Linear Algebra and its Applications, vol. 178 (1993) 109-183.
[24] D. Alpay, J. Ball, I. Gohberg and L. Rodman. State space theory of automorphisms of rational matrix functions. In: Integral Equations and Operator Theory, vol. 15 (1992), 349-377.
[23] D. Alpay and H. Dym, On reproducing kernel spaces, the Schur algorithm and interpolation in a general class of domains, Operator Theory: Advances and Applications: OT59 (1992) 30-77.
[22] D. Alpay, A. Dijksma, J. van der Ploeg and H. de Snoo. Holomorphic operators between Krein spaces and the number of negative squares of associated kernels. In: Operator Theory: Advances and Applications: OT59 (1992) 11-29.
[21] D. Alpay. On linear combinations of positive functions, associated reproducing kernel spaces and a non hermitian Schur algorithm. Archiv der Mathematik, vol. 58 (1992), 174-182.
[20] D. Alpay. A theorem on reproducing kernel Hilbert spaces of pairs. Rocky Mountain J. Math. 22 (1992), no. 4, 1243-1258.
[19a] D. Alpay, P. Bruinsma, A. Dijksma and H. de Snoo. Interpolation problems, extensions of symmetric operators and reproducing kernel spaces II (missing Section 3). Integral equations and Operator Theory, vol. 15 (1992) 378-388.
[19] D. Alpay, P. Bruinsma, A. Dijksma and H. de Snoo. Interpolation problems, extensions of symmetric operators and reproducing kernel spaces II. In Integral equations and Operator Theory, vol. 14 (1991) 465-500.
[18] D. Alpay. Some reproducing kernel spaces of continuous functions. Journal of mathematical analysis and applications, vol. 160 (1991), 424-433.
[17] D. Alpay, Some remarks on reproducing kernel Krein spaces, The Rocky Mountain Journal of Mathematics, vol. 21 (1991) 1189-1205.
[16] D. Alpay, P. Dewilde and H. Dym. Lossless inverse scattering and reproducing kernels for upper triangular operators, Operator Theory: Advances and Applications: OT47 (1990) 61-135.
[15] D. Alpay, J. Ball, I. Gohberg and L. Rodman. Realization and factorization of rational matrix functions with symmetries. Operator Theory: Advances and Applications, vol 47 (1990) 1-60.
[14] D.Alpay and P. Dewilde, Time-varying signal approximation and estimation, in: Signal processing, scattering and operator theory, and numerical methods (Amsterdam, 1989), Progress in systems and control theory, vol. 5 (1990) 1-22.
[13] D. Alpay, P. Bruinsma, A. Dijksma and H. de Snoo. Interpolation problems, extensions of operators and reproducing kernel spaces I. Operator Theory: Advances and Applications: OT50 (1990), 35-82.
[12] D. Alpay, P. Bruinsma, A. Dijksma and H. de Snoo. A Hilbert space associated with Nevanlinna functions. In: Progress in Systems and Control Theory, vol 5 (1990), pp. 115-122.
[11] D. Alpay and H. Dym. Structured invariant spaces of vector valued functions, sesquilinear forms and a generalization of Iohvidov's laws. In Linear Algebra and its Applications, vol. 137 (1990), pp. 413-451.
[10] D. Alpay and H. Dym. Structured invariant spaces of vector valued functions, hermitian forms and a generalization of Iohvidov's laws. In Linear Algebra and its Applications, vol. 137 (1990), pp. 137-181.
[9] D. Alpay, Dilatations des commutants d'opérateurs pour des espaces de Krein de fonctions analytiques. Annales de l'Institut Fourier, vol. 39 (1989), pp. 1073-1094.
[8] D. Alpay, P. Dewilde and H. Dym. On the existence and construction of solutions to the partial lossless inverse scattering problem with applications to estimation theory. IEEE Transactions on Information Theory, vol. 35 (1989), pp. 1184-1205.
[7] D. Alpay. A remark on the Cowen-Douglas classes. Archiv der Mathematik, vol. 51 (1988) pp. 539-546.
[6] D. Alpay and I. Gohberg. On orthogonal matrix polynomials. Operator Theory: Advances and Applications: OT34 (1988) pp. 25-46.
[5] D. Alpay and I. Gohberg. Unitary rational matrix functions. Operator Theory: Advances and Applications: OT33 (1988) pp. 175-222.
[4] D. Alpay. Some Krein spaces of analytic functions and an inverse scattering problem. Michigan Journal of Mathematics, vol. 34 (1987) pp. 349-359.
[3] D. Alpay and H. Dym. On applications of reproducing kernel spaces to the Schur algorithm and rational J unitary factorizations. Operator Theory: Advances and Applications: OT18 (1986) pp. 89-159.
[2] D. Alpay and H. Dym, Hilbert spaces of analytic functions, inverse scattering and operator models, II, Integral Equations and Operator Theory, vol. 8 (1985), pp. 145-180.
[1] D. Alpay and H. Dym, Hilbert spaces of analytic functions, inverse scattering and operator models, I, Integral Equations and Operator Theory , vol. 7 (1984), pp. 589-641.
[20] D. Alpay, J. Behrndt, F. Colombo, I. Sabadini and D. Struppa. Recent developments in Operator Theory, Mathematical Physics and Complex Analysis. IWOTA 2021, Chapman University. Operator Theory: Advances and Applications, vol. 290 (2023). In press.
[19] D. Alpay, R. Peretz, D. Shoikhet and M. Vajiac. New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative Chapman University, November 2021. Operator Theory: Advances and Applications, vol. 286 (2021).
[18] D. Alpay, B. Fritzsche and B. Kirstein, Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory A Volume in Honor of V.E. Katsnelson. Operator Theory: Advances and Applications, vol. 280 (2020).
[17] D. Alpay and M. Vajiac. Linear systems, signal processing and hypercomplex analysis. Chapman University, 2017. Operator Theory: Advances and Applications, vol. 275 (2019).
[16] D. Alpay and B. Kirstein. Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations. A Volume Dedicated to Heinz Langer. Operator Theory: Advances and Applications, vol. 263 (2018).
[15] D. Alpay, F. Cipriani, F. Colombo, D. Guido, I. Sabadini and J.L. Sauvageot. Noncommutative analysis, operator theory and applications. Operator Theory: Advances and Applications, vol. 252 (2016).
[14] D. Alpay. Operator Theory. Volume 2, (2015). Springer Reference.
[13] D. Alpay. Operator Theory. Volume 1, (2015). Springer Reference.
[12] D. Alpay and B. Kirstein. Recent advances in inverse scattering, Schur analysis and stochastic processes. A collection of papers dedicated to Lev Sakhnovich. Operator Theory: Advances and Applications, vol. 244 (2015).
[11] D. Alpay and B. Kirstein. Interpolation, Schur Functions and Moment Problems II. Operator Theory: Advances and Applications, vol. 226 (2012).
[10] D. Alpay and V. Vinnikov. Characteristic functions, scattering functions and transfer functions. The Moshe Livsic Memorial Volume. Operator Theory: Advances and Applications, vol. 197 (2010).
[9] D. Alpay and V. Vinnikov. System Theory, the Schur Algorithm and Multidimensional Analysis. Operator Theory: Advances and Applications, vol. 176 (2007).
[8] D. Alpay. Wavelets, Multiscale Systems and Hypercomplex Analysis. Operator Theory: Advances and Applications, vol. 167 (2006).
[7] D. Alpay and I. Gohberg. Interpolation, Schur functions and moment problems. Operator Theory: Advances and Applications, vol. 165 (2006).
[6] D. Alpay and I. Gohberg. The State Space Method. New Results and new Applications. Operator Theory: Advances and Applications, vol. 161 (2006).
[5] D. Alpay and V. Vinnikov. Operator theory, systems theory and scattering theory: multidimensional generalizations. Operator Theory: Advances and Applications, vol. 157 (2005).
[4] D. Alpay. Reproducing kernel spaces and applications. Operator Theory: Advances and Applications, vol. 143 (2003).
[3] D. Alpay, I. Gohberg and V. Vinnikov. Interpolation theory, systems theory and related topics, The Harry Dym Anniversary Volume. Operator Theory: Advances and Applications, vol. 134 (2002).
[2] D. Alpay and V. Vinnikov. Operator theory, system theory and related topics, The Moshe Livsic anniversary volume. Operator Theory: Advances and Applications, vol. 123 (2001). (Proceedings of the conference held in Beer-Sheva in honour of M. Livsic's 80-th birthday).
[1] S. Saitoh, D. Alpay, J. Ball and T. Ohsawa. Reproducing kernels and their applications. Kluwer Academic Publishers (proceedings of the session on reproducing kernels and their applications, at ISAAC97, University of Delaware, June 97).