Orthogonal polynomials on the unit circle (Record no. 2428)

000 -LEADER
fixed length control field 01951nam a22001937a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240828150316.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190302b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821848647
040 ## - CATALOGING SOURCE
Transcribing agency Educational Supplies
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA1
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Simon, Barry
245 ## - TITLE STATEMENT
Title Orthogonal polynomials on the unit circle
Remainder of title : Part 2- Spectral Theory
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. USA:
Name of publisher, distributor, etc. AMS,
Date of publication, distribution, etc. [c2009]
300 ## - Physical Description
Pages: 577 p
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1: The Basics<br/>Chapter 2: Szego's Theorem<br/>Chapter 3: Tools for Geronimus' Theorem<br/>Chapter 4: Matrix Representations<br/>Chapter 5: Baxter's Theorem<br/>Chapter 6: The Strong Szego Theorem<br/>Chapter 7: Verblunsky Coefficients With Rapid Decay<br/>Chapter 8: The Density of Zeros<br/><br/>Part 2 : Spectral Theory<br/>Chapter 9. Rakhmanov’s theorem and related issues<br/>Chapter 10. Techniques of spectral analysis<br/>Chapter 11. Periodic Verblunsky coefficients<br/>Chapter 12. Spectral analysis of specific classes of Verblunsky coefficients<br/>Chapter 13. The connection to Jacobi matrices<br/>
520 ## - SUMMARY, ETC.
Summary, etc. 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.<br/><br/>Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő'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.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 03/01/2019 QA1 01765 Book