Bitangential direct and inverse problems for systems of integral and differential equations / Damir Z. Arov, Harry Dym.
"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 m...
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| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2012.
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| Series: | Encyclopedia of mathematics and its applications ;
v. 145. |
| Subjects: | |
| Physical Description: | xiv, 472 pages ; 24 cm. |
| Format: | Book |
Contents:
- Machine generated contents note: 1. Introduction; 2. Canonical systems and related differential equations; 3. Matrix valued functions in the Nevanlinna class; 4. Interpolation problems, resolvent matrices and de Branges spaces; 5. Chains that are matrizants and chains of associated pairs; 6. The bitangential direct input scattering problems; 7. Bitangential direct input impedance and spectral problems; 8. Inverse monodromy problems; 9. Bitangential Krein extension problems; 10. Bitangential inverse input scattering problems; 11. Bitangential inverse input impedance and spectral problems; 12. Dirac-Krein systems; Bibliography; Index.