Can I read Orthogonal Polynomials on the Unit Circle - Part 2 : Spectral Theory on EtoBox?

Orthogonal Polynomials on the Unit Circle - Part 2 : Spectral Theory by Barry Simon is a nonfiction available to read on EtoBox.

What is Orthogonal Polynomials on the Unit Circle - Part 2 : Spectral Theory about?

This two-part volume gives 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. The book is suitable for graduate students and researchers interested in analysis.

Who reads Orthogonal Polynomials on the Unit Circle - Part 2 : Spectral Theory?

Author

Barry Simon

Publisher

American Mathematical Society

Published

2004

Language

EN

ISBN

9780821848647

Category

nonfiction

Subjects

Mathematics, Stem