Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

Language: English

Published by Berlin Springer Springer, 1997

3764357630 / 9783764357634

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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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

Title
Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Author
Daniel Alpay
Publisher
Berlin Springer Springer
Publication year
1997
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3764357630
ISBN 13
9783764357634
Item weight
600 grams
Dimensions
240x170x17 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany