Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces (Operator Theory: Advances and Applications (96))
Alpay, Daniel, Dijksma, Aad, Rovnyak, James, Snoo, Hendrik d
ISBN 10: 3034898231 ISBN 13: 9783034898232
Published by Birkhäuser, 2012
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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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Title: Schur Functions, Operator Colligations, and ...
Publisher: Birkhäuser
Publication Date: 2012
Binding: Paperback
Condition: Like New
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 # 4319630
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Taschenbuch. Condition: Neu. Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces | Daniel Alpay (u. a.) | Taschenbuch | xi | Englisch | 2012 | Springer | EAN 9783034898232 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105712388
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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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Taschenbuch. Condition: Neu. 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 # 9783034898232
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Taschenbuch. 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. 252 pp. Englisch. Seller Inventory # 9783034898232
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 252 pp. Englisch. Seller Inventory # 9783034898232
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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
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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces (Operator Theory: Advances and Applications)
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