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15th Southeastern Analysis Meeting and Shanks Lecture
May 20-23, 1999
Vanderbilt University
Nashville, TN, USA

Organizers
Daoxing Xia, Dechao Zheng, Eric Schechter

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Canonical model in the Hardy space over bidisk
by
Rongwei Yang
University of Georgia

If E is a separable complex Hilbert space, then E-valued Hardy space H2(E) is used to provide canonical models for contractions. If we identify E with the Hardy space over the unit disk, then H2(E) becomes the Hardy space over the bidisk H2(D2). In this talk we will look at the classical model theory in the context of H2(D2). Since H2(D2) has better structure than H2(E) does, some new things can be done. An application to the Bergman shift will be given.

Date received: April 4, 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 # cacb-18.