Mendeley出力
＜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 |
| 出版情報 | Cambridge [England] ; New York : Cambridge University Press , 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. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7015859 |
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 | DAVI/110/2 | 1995 |
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068222194007548 |
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理系図3F 数理独自 | DAVI/110/2A | 1995 |
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068222195006880 |
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理系図 自動書庫 | 104/DAV | 1995 |
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068252195001118 |
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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 |