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<図書>
The technique of pseudodifferential operators

責任表示 H.O. Cordes
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
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所蔵情報



理系図3F 数理独自 CORD/15/1 1995
068222194006977

書誌詳細

一般注記 Includes bibliographical references (p.370-379) and index
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

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