Titolo: Schur Functions, Operator Colligations, And Reproducing Kernel Pontryagin Spaces
Editore: Birkh�user Basel
Data di pubblicazione: 1997
Lingua: Inglese
ISBN 10: 3764357630
ISBN 13: 9783764357634
Rilegatura: Rilegato
Condizione: As New

Descrizione articolo

Riassunto

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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Book by Alpay Daniel Dijksma Aad Rovnyak James Snoo Hendri

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