Schur Functions Operator Colligations and Reproducing Kernel Pontryagin Spaces is popular PDF and ePub book, written by Daniel Alpay in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Schur Functions Operator Colligations and Reproducing Kernel Pontryagin Spaces can be Read Online from any device for your convenience.
Schur Functions Operator Colligations and Reproducing Kernel Pontryagin Spaces Book PDF Summary
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.
Detail Book of Schur Functions Operator Colligations and Reproducing Kernel Pontryagin Spaces PDF
- Author : Daniel Alpay
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034889087
- Genre : Mathematics
- Total Page : 244 pages
- Language : English
- PDF File Size : 9,5 Mb
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