Hardcover. J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems. J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Detalles bibliogr�ficos

T�tulo

J-Contractive Matrix Valued Functions and Related Topics (Hardcover)

Editor

Cambridge University Press, Cambridge

Fecha de publicaci�n

2008

Idioma

Ingl�s

ISBN 10

0521883008

ISBN 13

9780521883009

Encuadernaci�n

Hardcover

Estado

new

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Sinopsis

A comprehensive introduction to the theory of J-contractive and J-inner matrix valued functions.

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Damir Z. Arov is Professor of Mathematical Analysis at South-Ukraine Pedagogical University in Odessa. He is the author of more than 100 research and survey papers and has been an invited speaker at numerous international conferences.

Harry Dym is Professor Emeritus in the Department of Mathematics at the Weizmann Institute of Science in Israel. He has written more than 100 papers and this is his 5th book. Professor Dym is well know for his work in this area and his research interests are Operator Theory, Interpolation Theory, Inverse Problems and Classical Analysis.

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