Bitangential direct and inverse problems for systems of integral and differential equations
This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a mo...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2012
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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:
- Introduction
- Canonical systems and related differential equations
- Matrix-valued functions in the Nevanlinna class
- Interpolation problems, resolvent matrices and de Branges spaces
- Chains that are matrizants and chains of associated pairs
- The bitangential direct input scattering problems
- Bitangential direct input impedance and spectral problems
- Inverse monodromy problems
- Bitangential Krein extension problems
- Bitangential inverse input scattering problems
- Bitangential inverse input impedance and spectral problems
- Direct and inverse problems for Dirac-Krein systems