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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 eithe...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2012.
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| Colección: | Encyclopedia of mathematics and its applications ;
145. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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 monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory"-- |
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| Descripción Física: | 1 online resource (xiv, 472 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781139549653 1139549650 9781139093514 1139093517 9781107264182 1107264189 6613950777 9786613950772 1283638312 9781283638319 9781139552158 1139552155 1139887572 9781139887571 1139555863 9781139555869 1139554611 9781139554619 |