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Catalogue Information
Field name	Details
Dewey Class	515
Title	Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces ([EBook]) / by Daniel Alpay, Aad Dijksma, James Rovnyak, Hendrik de Snoo.
Author	Alpay, Daniel
Added Personal Name	Dijksma, Aad
	Rovnyak, James
	Snoo, Hendrik de
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 1997.
Physical Details	XI, 232 pages : online resource.
Series	Operator theory : advances and applications ; 96
ISBN	9783034889087
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8908-7
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Engineering . Engineering, general . Mathematical analysis . Mathematics . Authors: Alpay, Daniel . author . Dijksma, Aad . Rovnyak, James . Snoo, Hendrik de . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 515 . 515 (DDC 22) .

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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

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