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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
CHF 111.45
Auf Lager
SKU
8A42848H300
1 Verfügbar 
Geliefert zwischen Do., 29.01.2026 und Fr., 30.01.2026
Details
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783764357634
- Größe H17mm x B240mm x T170mm
- EAN 9783764357634
- Titel Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
- Autor Daniel Alpay , Aad Dijksma , James Rovnyak , Hendrik de Snoo
- Gewicht 600g
- Herausgeber Springer, Berlin
- Anzahl Seiten 232
- Genre Mathematik
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