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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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Tensor Product of Resolutions and Applications to Biregular Functions
by
Daniele C. Struppa
George Mason University
Coauthors: Damiano and Sabadini

We consider functions defined on n pairs of quaternionic variables (pi, qi) and which are left-regular in pi and right regular in qi for all i=1, ¼, n. We call these functions biregular, in an extension of the name which is usually reserved for functions of two quaternionic variables, left regular on one, and right regular on the other one. We show that there are some general properties of the tensor product of free resolutions which allow us to study the algebraic properties of these functions by reducing the analysis to the case of regular functions of several quaternionic variables.

Date received: April 15, 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 # caqq-26.