Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

Name: Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
SKU: 21577825
Price: 135.99 AUD
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Paperback / softback

Series:

Operator Theory: Advances and Applications

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Description

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.

Release date Australia

July 15th, 1997

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1997

Illustrations

XI, 232 p.

Pages

232

Series

Operator Theory: Advances and Applications

Dimensions

170x244x13

ISBN-13

9783034898232

Product ID

21577825

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