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<図書>
Spectral theory and differential operators

責任表示 E.B. Davies
シリーズ Cambridge studies in advanced mathematics ; 42
データ種別 図書
出版者 Cambridge [England] ; New York : Cambridge University Press
出版年 1995
本文言語 英語
大きさ ix, 182 p. : ill. ; 24 cm
概要 In this book, Davies introduces the reader to the theory of partial differential operators, up to the spectral theorem for bounded linear operators on Banach spaces. He also describes the theory of Fo...rier transforms and distributions as far as is needed to analyze the spectrum of any constant coefficient partial differential operator. He also presents a completely new proof of the spectral theorem for unbounded self-adjoint operators and demonstrates its application to a variety of second order elliptic differential operators. Finally, the book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. Illustrated with many examples, it is well-suited to graduate-level work.
In this book, Davies introduces the reader to the theory of partial differential operators, up to the spectral theorem for bounded linear operators on Banach spaces. He also describes the theory of Fourier transforms and distributions as far as is needed to analyze the spectrum of any constant coefficient partial differential operator. He also presents a completely new proof of the spectral theorem for unbounded self-adjoint operators and demonstrates its application to a variety of second order elliptic differential operators. Finally, the book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. Illustrated with many examples, it is well-suited to graduate-level work.
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所蔵情報


理系図3F 数理独自 068222194007548 DAVI/110/2 1995

理系図3F 数理独自 068222195006880 DAVI/110/2A 1995

理系図 自動書庫 068252195001118 104/DAV 1995

書誌詳細

一般注記 Includes bibliography (p. 178) and index
著者標目 *Davies, E. B. (Edward Brian), 1944-
件 名 LCSH:Spectral theory (Mathematics)
LCSH:Elliptic operators
分 類 LCC:QA320
DC20:515/.7242
NDC8:415.5
書誌ID 1001161789
ISBN 0521472504
NCID BA24275018
巻冊次 ISBN:0521472504
: pbk ; ISBN:0521587107
登録日 2009.09.17
更新日 2017.03.14

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