| Interpolation Theory, Systems Theory and Related Topics: The Harry Dym Anniversary Volume 2002 Edition Contributor(s): Alpay, Daniel (Editor), Gohberg, Israel (Editor), Vinnikov, Victor (Editor) |
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ISBN: 3764367628 ISBN-13: 9783764367626 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: July 2002 Annotation: This volume is dedicated to Harry Dym, a leading expert in operator theory, on the occasion of his sixtieth birthday. The book opens with an autobiographical sketch, a list of publications and a personal account of I. Gohberg on his collaboration with Harry Dym. The mathematical papers cover Krein space operator theory, Schur analysis and interpolation, several complex variables and Riemann surfaces, matrix theory, system theory, and differential equations and mathematical physics. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists. |
| Additional Information |
| BISAC Categories: - Gardening - Mathematics | Calculus - Mathematics | Mathematical Analysis |
| Dewey: 515.724 |
| LCCN: 2002074785 |
| Series: Operator Theory: Advances and Applications |
| Physical Information: 0.94" H x 6.14" W x 9.21" (1.71 lbs) 414 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |