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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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Szego kernels and polynomials in several non-commuting variables
by
Tiberiu Constantinescu
University of Texas at Dallas

We introduce and discuss classes of orthogonal polynomials associated to positive functionals modulo symmetric sets of relations in 2N non-commuting indeterminates.The focus of the talk will be on Siegel spheres and upper half-planes. We consider a Szegö kernel for this type of domains, we obtain recurrence equations, Christoffel-Darboux formulae, and we study the inverse problem for the corresponding recurrence equations.

Date received: May 28, 2002

Copyright © 2002 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 # caiz-27.