Orthogonal Polynomials on the Unit Circle: Part 2: Spectral Theory (Colloquium Publications)
Barry Simon
ISBN 10: 082184864X ISBN 13: 9780821848647
Published by American Mathematical Society, 2009
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Soft cover
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About this Item
Description:
Series: Colloquium Publications. Num Pages: 578 pages. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178. . . 2009. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821848647
Synopsis:
his two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szeg 's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line. The book is suitable for graduate students and researchers interested in analysis.
About the Author: Barry Simon , California Institute of Technology, Pasadena, CA, USA
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Bibliographic Details
Title: Orthogonal Polynomials on the Unit Circle: ...
Publisher: American Mathematical Society
Publication Date: 2009
Binding: Soft cover
Condition: New
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