J-Contractive Matrix Valued Functions and Related Topics (Encyclopedia of Mathematics and its Applications, Series Number 116) - Hardcover

Arov, Damir Z.; Dym, Harry

 
9780521883009: J-Contractive Matrix Valued Functions and Related Topics (Encyclopedia of Mathematics and its Applications, Series Number 116)
Hardcover
ISBN 10: 0521883008 ISBN 13: 9780521883009
Publisher: Cambridge University Press, 2008

Synopsis

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.

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About the Authors

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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Publisher
Cambridge University Press
Publication date
2008
Language
English
ISBN 10 
0521883008
ISBN 13 
9780521883009
Binding
Hardcover
Number of pages
588

Other Popular Editions of the Same Title

9785218830083: J-Contractive Matrix Valued Functions and Related Topics (Encyclopedia of Mathematics and its Applications)

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ISBN 10:  5218830089 ISBN 13:  9785218830083
Publisher: Cambridge University Press, 2008
Hardcover