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Interpolation Theory, Systems Theory and Related Topics - The Harry Dym Anniversary Volume (Paperback, Softcover reprint of the original 1st ed. 2002)
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Interpolation Theory, Systems Theory and Related Topics - The Harry Dym Anniversary Volume (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Operator Theory: Advances and Applications, 134
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This volume is based on the proceedings of the Toeplitz Lectures
1999 and of the Workshop in Operator Theory held in March 1999 at
Tel-Aviv University and at the Weizmann Institute of Science. The
workshop was held on the occasion of the 60th birthday of Harry
Dym, and the Toeplitz lecturers were Harry Dym and Jim Rovnyak. The
papers in the volume reflect Harry's influence on the field of
operator theory and its applications through his insights, his
writings, and his personality. The volume begins with an
autobiographical sketch, followed by the list ofpublications
ofHarry Dym and the paper ofIsrael Gohberg: On Joint Work with
Harry Dym. The following paper by Jim Rovnyak: Methods of Krdn
Space Operator The- ory, is based on his Toeplitz lectures. It
gives a survey ofold and recents methods of KreIn space operator
theory along with examples from function theory, espe- cially
substitution operators on indefinite Dirichlet spaces and their
relation to coefficient problems for univalent functions, an idea
pioneered by 1. de Branges and underlying his proof of the
Bieberbach conjecture (see [9]). The remaining papers (arranged in
the alphabetical order) can be divided into the following
categories. Schur analysis and interpolation In Notes on
Interpolation in the Generalized Schur Class. I, D. Alpay, T. Con-
stantinescu, A. Dijksma, and J. Rovnyak use realization theory for
operator colli- gations in Pontryagin spaces to study interpolation
and factorization problems in generalized Schur classes.
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