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Orthogonal Polynomials on the Unit Circle: Part 2: Spectral Theory

Barry Simon
Publisher: 
American Mathematical Society
Publication Date: 
2004
Number of Pages: 
578
Format: 
Hardcover
Series: 
Colloquium Publications 54, part 2
Price: 
149.00
ISBN: 
0-8218-3757-5
Category: 
Monograph
We do not plan to review this book.
* Part 1: The Basics
* Szeg”'s theorem
* Tools for Geronimus' theorem
* Matrix representations
* Baxter's theorem
* The strong Szeg” theorem
* Verblunsky coefficients with rapid decay
* The density of zeros
* Bibliography
* Author index
* Subject index
* Part 2: Rakhmanov's theorem and related issues
* Techniques of spectral analysis
* Periodic Verblunsky coefficients
* Spectral analysis of specific classes of Verblunsky coefficients
* The connection to Jacobi matrices
* Reader's guide: Topics and formulae
* Perspectives
* Twelve great papers
* Conjectures and open questions
* Bibliography
* Author index
* Subject index

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