Orthogonal Polynomials on the Unit Circle Part 2: Spectral Theory |
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| Author:
| Simon, Barry |
| Series title: | Colloquium Publications |
| ISBN: | 978-0-8218-4864-7 |
| Publication Date: | Dec 2013 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $104.00USD $104.00 |
Book Description:
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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.
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.