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Orthogonal Polynomials on the Unit Circle: Part 2: Spectral Theory (Colloquium Publications)
Barry Simon
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Description for Orthogonal Polynomials on the Unit Circle: Part 2: Spectral Theory (Colloquium Publications)
Paperback. Series: Colloquium Publications. Num Pages: 578 pages. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178. .
This two-part book is 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 Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szego's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by $z$ (CMV matrices), periodic Verblunsky coefficients from ... Read more
This two-part book is 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 Schrodinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szego's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by $z$ (CMV matrices), periodic Verblunsky coefficients from ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
American Mathematical Society
Condition
New
Series
Colloquium Publications
Number of Pages
578
Place of Publication
Providence, United States
ISBN
9780821848647
SKU
V9780821848647
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Barry Simon
Barry Simon, California Institute of Technology, Pasadena, CA, USA
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