Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Language: English
Published by Springer, Berlin, Springer, Basel, 1997
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 119.57
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary colligations whose state spaces are reproducing kernel Pontryagin spaces. This provides a modern system theory setting for the relationship between invariant subspaces and factorization, operator models, Krein-Langer factorizations, and other topics. The book is intended for students and researchers in mathematics and engineering. An introductory chapter supplies background material, including reproducing kernel Pontryagin spaces, complementary spaces in the sense of de Branges, and a key result on defining operators as closures of linear relations. The presentation is self-contained and streamlined so that the indefinite case is handled completely parallel to the definite case.…
Seller Inventory # 9783764357634
- Title
- Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
- Author
- Daniel Alpay
- Publisher
- Springer, Berlin, Springer, Basel
- Publication year
- 1997
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3764357630
- ISBN 13
- 9783764357634
- Item weight
- 600 grams
- Dimensions
- 240x170x17 mm
"Synopsis" may belong to another edition of this title.
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