
Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Springer (Publisher)
1st Edition
Published in June 1997
Book
Hardback
XI, 232 pages
978-3-7643-5763-4 (ISBN)
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.
More details
Series
Edition
1., 997
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Research
Illustrations
3
3 s/w Abbildungen
Dimensions
Height: 244 mm
Width: 170 mm
Weight
600 gr
ISBN-13
978-3-7643-5763-4 (9783764357634)
DOI
10.1007/978-3-0348-8908-7
Schweitzer Classification
Other editions
Additional editions

Daniel Alpay | Aad Dijksma | James Rovnyak
Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Book
10/2012
Birkhäuser
€53.49
Shipment within 10-15 days