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<図書>
Classical theory

責任表示 Barry Simon
シリーズ Colloquium publications / American Mathematical Society ; v. 54 . Orthogonal polynomials on the unit circle ; pt. 1
データ種別 図書
出版者 Providence, R.I. : American Mathematical Society
出版年 c2005
本文言語 英語
大きさ xxv, 466 p. : ill. ; 27 cm
概要 Volume 1 of this two volume set focuses on classical theory. Simon (California Institute of Technology, Pasadena) begins with an introduction to the basic elements of the subject, describing orthogona... polynomials on the real line, Caratheodogy and Schur functions, operator and spectral theory, Verblunsky coefficients, and the Szego recurrence, among other topics. Subsequent chapters delve at length in Szego's theorem, tools for Geronimus' theorem, matrix representations, Baxter's theorem, the Strong Szego theorem, Verblunsky coefficients with rapid decay, and the density of zeros. In v.2, on spectral theory, chapter topics include Rakhmanov's theorem, techniques of spectral analysis, periodic Verblunsky coefficients, spectral analysis of specific classes of Verblunsky coefficients, and the connection to Jacob matrices. Both volumes include a bibliography and author and subject indexes. Volume 2 contains appendices that include a reader's guide to topics and formulae, a discussion of the differences between orthogonal polynomials on a unit circle and those on a real line, a list of conjectures and open questions, and an annotated list of significant papers. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com) 続きを見る
目次 pt. 1. Classical theory
pt. 2. Spectral theory.

所蔵情報

: set 理系図3F 数理独自 023212005000838 SER/CP/54-1 2005

書誌詳細

一般注記 Includes bibliographical references (p. 425-455) and indexes
著者標目 *Simon, Barry
分 類 LCC:QA404.5
DC22:515/.55
書誌ID 1001240644
ISBN 0821837575
NCID BA70349861
巻冊次 : set ; ISBN:0821837575
ISBN:0821834460
登録日 2009.09.18
更新日 2009.11.02

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