eTextbook: Szego's Theorem and Its Descendants

Book Jacket Image

List Price 1: $120.00

eTextbook Purchase: $96.00

You save $24.00

Are you a school looking to buy multiple copies of this book?

  • Free Book Promotion

    For a limited time, this book is eligible for free.

    Click here to redeem the Facebook Offer

    Author(s): Simon, Barry

    ISBN 10: 0691147043. See all ISBN's

    ISBN 13: 9780691147048

    Edition:

    Publisher: Princeton University Press

    This is an eTextbook Learn More

    Description:

    This is the eBook version of the printed book. If the book includes supplemental materials, the supplemental materials are not included within the eBook version.

    This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomials for measures supported on a finite number of intervals on the real line.

    In addition to the Szego and Killip-Simon theorems for orthogonal polynomials on the unit circle (OPUC) and orthogonal polynomials on the real line (OPRL), Simon covers Toda lattices, the moment problem, and Jacobi operators on the Bethe lattice. Recent work on applications of universality of the CD kernel to obtain detailed asymptotics on the fine structure of the zeros is also included. The book places special emphasis on OPRL, which makes it the essential companion volume to the author's earlier books on OPUC.

    All ISBN's for this title:

    ISBN 10: 0691147043, ISBN 13: 9780691147048, eISBN 10: 1400837057, eISBN 13: 9781400837052

    1. List price can refer to either the digital or print list price, whichever is available to Kno.
  • Cool Product Features

    Kno In Action

    Search

    Journal

    Flashcards

    Kno Me

    Smart Links