Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. J-Contractive Matrix Valued Functions and Related Topics
  • Cited by 45
  • Damir Z. Arov, South-Ukrainian Pedagogical University, Odessa, Ukraine, Harry Dym, Weizmann Institute of Science, Israel
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
2008
Online ISBN:
9780511721427
DOI:
https://doi.org/10.1017/CBO9780511721427
Subjects:
Mathematics (general), Mathematics, Abstract Analysis, Algebra
Series:
Encyclopedia of Mathematics and its Applications (116)
Information

Book description

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.

Reviews

'… packed with information, much of which is not readily found elsewhere. The book will surely be useful for many years to come, and the authors are to be congratulated on a valuable contribution to the literature.'

Source: Mathematical Reviews

'… well written with theoretical results of a high standard … can be recommended to scientists, engineers and students preparing their doctoral theses.'

Source: EMS Newsletter

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.