Daniel Aron ALPAY

Foster G. and Mary McGaw Professorship in Mathematical Sciences

Welcome to my homepage:

Conference announcements:

A conference entitled

Advances in Operator Theory with Applications to Mathematical physics, Chapman, 2022

will take place at Chapman University during the period November 14-18, 2022. Here is the link to the homepage of the workshop

A workshop entitled

Workshop on Operator Theory with an eye on Linear Systems and Hypercomplex Analysis

took place at Chapman University during the period May 28th - June 4th, 2022. Here is the link to the homepage of the workshop

The conference New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative
 November 21-26 2019,
Chapman University, ORANGE, CA took place at Chapman University, during the period November 21-26, 2019, organized by Profs. Daniel Alpay, Ronen Peretz, David Shoikhet and Mihaela Vajiac.

The conference Advances in operator theory with applications to mathematical physics

took place at Chapman University, during the period November 12-16, 2018, organized by Profs. Daniel Alpay, Jussi Behrndt, Fabrizio Colombo and Daniele Struppa.

Here a link to the previous 2017 conference

Mathematics, Signal Processing and Linear Systems: New Problems and Directions

which took place at Chapman University during the period November 14-19, 2017, organized by Prof. Daniel Alpay and Dr Mihaela Vajiac.

Here is a link to the second edition of my first complex variable book and here a link to the second one.

I am the editor-in-chief of the journal,

Complex Analysis and Operator Theory,

published by Birkhauser. Papers should be submitted via the Online Manuscript Submission, Review and Tracking System of the journal.

  • Present position: Professor at the Department of Mathematics, Chapman University.

  • A few academic facts : After highschool at the Lycée Voltaire and the École Yavné, Paris (Here is the link to the Association des anciens élèves.), two years of Mathématiques supérieures and Mathématiques Spéciales at the Lycée Louis-Le-Grand. Then, I graduated in 78 from the Ecole Nationale Supérieure des Télécommunications. Here is the link to the Association des anciens élèves. I did my PhD thesis at the Feinberg Graduate School of the Weizmann Institute under the supervision of Harry Dym.

  • Research Interests:

    My current research interests may be divided into five main directions:

    1) Schur analysis in the setting of slice-hyperholomorphic functions.

    2) Infinite dimensional analysis in the white noise space setting, and free analysis.

    3) Rational functions and applications to linear system theory and wavelets.

    4) Schur analysis in the setting of bicomplex functions.

    5) Operator theory and Riemann surfaces.

    More can be found on my research interests in my book: Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes. Panoramas et Synthèses, volume 6, Société mathématique de France (1998).

  • Publications: Click here