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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Rational hyperanalytic functions
by
Daniel Alpay
Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel
Coauthors: Michael Shapiro (IPN, Mexico City, Mexico), Dan Volok (Weizmann Institute, Rehovot, Israel)

We define rational functions when the complex numbers are replaced by the quaternions and when analytic functions are replaced by hyperanalytic functions. Our approach uses a solution of Gleason's problem in the hyperanalytic framework. This allows to define Schur functions and associated de Branges-Rovnyak spaces in the present setting.

Date received: March 27, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caql-76.