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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces: No. 96 (Operator Theory: Advances and Applications) - Tapa dura

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

 
9783764357634: Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces: No. 96 (Operator Theory: Advances and Applications)
Tapa dura
ISBN 10: 3764357630 ISBN 13: 9783764357634
Editorial: Birkhäuser, 1997

Sinopsis

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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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
1997
Idioma
Inglés
ISBN 10 
3764357630
ISBN 13 
9783764357634
Encuadernación
Tapa dura
Número de páginas
252
Contacto del fabricante
no disponible
Persona responsable
no disponible