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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 |
| 出版情報 | New York : Cambridge University Press , 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
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | BULT/10/K1 | c1999 |
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023211999000145 |
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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 |