Schur Functions, Operator Colligations and Reproducing Kernel Pontryagin Spaces: No. 96 - Rilegato

Alpay, Daniel; Etc.; Rovnyak, James; Snoo, Hendrik De; Dijksma, Aad

 
9783764357634: Schur Functions, Operator Colligations and Reproducing Kernel Pontryagin Spaces: No. 96

Sinossi

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 reproduced kernal 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. This text is intended for students and researchers in mathematics and engineering. An introductory chapter contains background material, including reproducing kernal Pontryagin spaces, complementary spaces in the sense of de Branges, and a result on defining operators as closures of linear relations. The presentation is such that the indefinite case is handled parallel to the definite case.

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Product Description

Book by Alpay Daniel Dijksma Aad Rovnyak James Snoo Hendri

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Altre edizioni note dello stesso titolo

9783034898232: Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces: 96

Edizione in evidenza

ISBN 10:  3034898231 ISBN 13:  9783034898232
Casa editrice: Birkhäuser, 2012
Brossura