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<図書>
Orthogonal rational functions

責任表示 Adhemar Bultheel ... [et al.]
シリーズ Cambridge monographs on applied and computational mathematics ; 5
データ種別 図書
出版者 New York : Cambridge University Press
出版年 1999
本文言語 英語
大きさ xiv, 407 p. : ill. ; 24 cm
概要 This volume generalizes the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex...numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalized and treated in detail. The same topics are discussed for a different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modeling, lossless inverse scattering, and network synthesis. This theory has many applications both in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and electrical engineering. 続きを見る

所蔵情報


理系図3F 数理独自 023211999000145 BULT/10/K1 c1999

書誌詳細

一般注記 Includes bibliographical references
著者標目 Bultheel, Adhemar
件 名 LCSH:Functions, Orthogonal
LCSH:Functions of complex variables
分 類 LCC:QA404.5
DC21:515/.55
書誌ID 1001395008
ISBN 0521650062
NCID BA40882088
巻冊次 ISBN:0521650062
登録日 2009.11.02
更新日 2009.11.02

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