Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory; Part 2: Spectral Theory (Colloquium Publications)

 
9780821848678: Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory; Part 2: Spectral Theory (Colloquium Publications)

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 Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szeg '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.

"synopsis" may belong to another edition of this title.

Review:

The author has now opened new vistas with a monumental treatise that integrates old and new aspects of the subject and describes important connections with mathematical physics, especially with spectral theory of Schrödinger Operations. ... The author has made every effort to guide the reader toward a clear understanding of the material and its various interconnections. The result is an instant classic that will become a standard source for novices and veterans alike. --Mathematical Reviews

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Barry Simon
Published by American Mathematical Society (2004)
ISBN 10: 0821848674 ISBN 13: 9780821848678
New Paperback Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2004. Paperback. Book Condition: New. Bookseller Inventory # DADAX0821848674

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 153.91
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds

2.

Barry Simon
Published by American Mathematical Society (2004)
ISBN 10: 0821848674 ISBN 13: 9780821848678
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, 2004. Paperback. Book Condition: New. book. Bookseller Inventory # M0821848674

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 182.40
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

3.

Barry Simon
Published by American Mathematical Society (2004)
ISBN 10: 0821848674 ISBN 13: 9780821848678
New Paperback Quantity Available: 1
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, 2004. Paperback. Book Condition: Brand New. 1044 pages. 9.90x7.10x2.20 inches. In Stock. Bookseller Inventory # 0821848674

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 196.82
Convert Currency

Add to Basket

Shipping: US$ 8.00
From United Kingdom to U.S.A.
Destination, Rates & Speeds