<図書>
The technique of pseudodifferential operators
責任表示 | H.O. Cordes |
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シリーズ | London Mathematical Society lecture note series ; 202 |
データ種別 | 図書 |
出版情報 | Cambridge ; New York : Cambridge University Press , 1995 |
本文言語 | 英語 |
大きさ | xii, 382 p. ; 23 cm |
概要 | Pseudodifferential operators arise naturally in a solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicabl... for nonconstant coefficient equations. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral remainders or as asymptotic series. While a pseudodifferential operator is commonly defined by an integral formula, it also may be described by invariance under action of a Lie group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution, and the relation of the hyperbolic theory to the propagation of maximal ideals. The Technique of Pseudodifferential Operators will be of particular interest to researchers in partial differential equations and mathematical physics.続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/7015899 |
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 | CORD/15/1 | 1995 |
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068222194006977 |
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書誌詳細
一般注記 | Includes bibliographical references (p.370-379) and index |
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著者標目 | *Cordes, H. O. (Heinz Otto), 1925- |
件 名 | LCSH:Pseudodifferential operators |
分 類 | LCC:QA329.7 DC20:515/.7 NDC8:413 |
書誌ID | 1000312324 |
ISBN | 0521378648 |
NCID | BA24084734 |
巻冊次 | ISBN:0521378648 |
登録日 | 2009.09.11 |
更新日 | 2017.02.18 |