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Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials /
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background th...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
©2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomia. |
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| Descripción Física: | 1 online resource (x, 650 pages) |
| Bibliografía: | Includes bibliographical references and indexes. |
| ISBN: | 9781400837052 1400837057 1282821156 9781282821156 |