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

Arov, Damir Z.; Dym, Harry

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.

About this title

Book Description:

A comprehensive introduction to the theory of J-contractive and J-inner matrix valued functions with respect to the open upper half-plane and a number of applications of this theory. It will be of particular interest to those with an interest in operator theory and matrix analysis.

About the Author:

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.

About this edition

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