Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials
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The work Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials
Resource Information
The work Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials
 Title remainder
 spectral theory for L2 perturbations of orthogonal polynomials
 Statement of responsibility
 Barry Simon
 Language
 eng
 Summary

 This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gabor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical backgrund 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 booklength treatment of orthogonal polynomials for measures supported on a finite number of intervals on the real line
 In addition to the Szego and KillipSimon theorems for orthogonal polynomials on the unit circle (OPUC) and orthogonal polynomials on the real line (OPRL), Simon covers Toda lattices, the moment problem, and Jacobi operators on the Bethe lattice. Recent work on applications of universality of the CD kernel to obtain detailed asymptotics on the fine structure of the zeros is also included. The book places special emphasis on OPRL, which makes it the essential companion volume to the author's earlier books on OPUC. Book Jacket
 Cataloging source
 DLC
 Dewey number
 515/.55
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QC20.7.S64
 LC item number
 S56 2011
 Literary form
 non fiction
 Nature of contents
 bibliography
Context
Context of Szegő's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomialsWork of
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