Szegő's Theorem and Its Descendants : Spectral Theory for L<sup>2</sup> 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...

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Detalles Bibliográficos
Autor principal: Simon, Barry, 1946-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 2011.
Colección:Book collections on Project MUSE.
Temas:
Spectral theory (Mathematics)
Orthogonal polynomials.
SCIENCE > Physics > Mathematical & Computational.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Calculus.
Polynômes orthogonaux.
Spectre (Mathematiques)
Electronic books.
Acceso en línea:Texto completo
Descripción
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.
Descripción Física:1 online resource.
ISBN:9781400837052

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