Orthogonal Polynomials on the Unit Circle: Part 2: Spectral Theory (Colloquium Publications)

by Barry Simon

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...

• Format: Paperback
• Language: English
• ISBN: 082184864X
• ISBN13: 9780821848647
• Release Date: November 2009
• Publisher: American Mathematical Society
• Length: 578 Pages
• Weight: 2.38 lbs.
• Dimensions: 10.0" x 7.0"