J-contractive matrix valued functions and related topics
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2008
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| Series: | Encyclopedia of mathematics and its applications
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| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Algebraic preliminaries
- 3. Nevanlinna class of meromorphic mvf's
- 4. J-contractive and J-inner matrix valued functions
- 5. Reproducing kernel Kilbert spaces
- 6. Operator nodes and passive systems
- 7. Generalized interpolation problems
- 8. Generalized Krein extension problems
- 9. Darlington representations and related inverse problems
- 10. More criteria for strong regularity
- 11. Formulas for entropy functionals