Orthogonal Polynomials on the Unit Circle : Part 2: Spectral Theory Paperback / softback
by Barry Simon
Part of the Colloquium Publications series
Paperback / softback
Description
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 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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:578 pages
- Publisher:American Mathematical Society
- Publication Date:30/12/2013
- Category:
- ISBN:9780821848647
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:578 pages
- Publisher:American Mathematical Society
- Publication Date:30/12/2013
- Category:
- ISBN:9780821848647
