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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces: No. 96 (Operator Theory: Advances and Applications) - Hardcover
Synopsis
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.
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- PublisherBirkhäuser
- Publication date1997
- ISBN 10 3764357630
- ISBN 13 9783764357634
- BindingHardcover
- LanguageEnglish
- Number of pages252
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Condition: Very Good. Dust Jacket Condition: No Dj. 8vo pp. xi 229."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? book. Seller Inventory # 121478
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Schur functions, operator colligations and reproducing kernel Pontryagin spaces. Operator theory; Bd. 96.
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces (Operator Theory: Advances and Applications)
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Berlin Springer Springer, 1997
ISBN 10: 3764357630
ISBN 13: 9783764357634
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 232 pp. Englisch. Seller Inventory # 9783764357634
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces (Operator Theory: Advances and Applications)
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces (Operator Theory: Advances and Applications)
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Gebunden. Condition: New. 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 coisom. Seller Inventory # 908772689
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