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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Hendrik S. V.
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Description for Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Paperback. Series: Operator Theory: Advances and Applications. Num Pages: 243 pages, biography. BIC Classification: PBK; PBKA; TBC. Category: (G) General (US: Trade). Dimension: 244 x 170 x 13. Weight in Grams: 441.
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, ... Read more
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, ... Read more
Product Details
Format
Paperback
Publication date
1997
Publisher
Springer Basel Switzerland
Number of pages
243
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
232
Place of Publication
Basel, Switzerland
ISBN
9783034898232
SKU
V9783034898232
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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