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19th Annual Great Plains Operator Theory Symposium
May 26-30, 1999
Iowa State University
Ames, IA, USA

Organizers
Justin Peters, Yiu Tung Poon, Bruce Wagner

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Asymptotic Behavior of Toeplitz Determinants
by
Torsten Ehrhardt
Technische Universität Chemnitz and MSRI

The well known Szegö Limit Theorem describes the asymptotic behavior of determinants of n×n Toeplitz matrices Tn(c)=[cj-k] as n goes to infinity for smooth, nonvanishing function c defined on the unit circle with winding number zero. For functions with a certain type of singularities (jumps, zeros, poles) the asymptotic behavior of these determinants is predicted by the Fisher-Hartwig conjecture, which has been proved in some cases.

We will report the recent results on this conjecture and indicate the operator theoretical approach to this problem.

Date received: April 28, 1999

Copyright © 1999 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 # cacw-38.