Mendeley出力
＜図書＞
Differentiable measures and the Malliavin calculus
| 責任表示 | Vladimir I. Bogachev |
|---|---|
| シリーズ | Mathematical surveys and monographs ; v. 164 |
| データ種別 | 図書 |
| 出版情報 | Providence, R.I. : American Mathematical Society , c2010 |
| 本文言語 | 英語 |
| 大きさ | xv, 488 p. ; 27 cm |
| 概要 | Based on a course taught most recently at Moscow State University, this graduate textbook introduces the theory of classical Sobolev spaces and describes the properties of measures on infinite dimensi...nal spaces that are analogous to such properties as the existence and smoothness of densities of measures with respect to Lebesgue measure on IRn. Later chapters develop Sobolev classes over infinite dimensional spaces and the principles of Malliavin calculus for studying the smoothness of induced measures. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
| 目次 | 1. Background material 2. Sobolev spaces on IRn ["n" is superscript] 3. Differentiable measures on linear spaces 4. Some classes of differentiable measures 5. Subspaces of differentiability of measures 6. Integration by parts and logarithmic derivatives 7. Logarithmic gradients 8. Sobolev classes on infinite dimensional spaces 9. Malliavin calculus 10. Infinite dimensional transformations 11. Measures on manifolds 12. Applications.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6947285 |
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 | BOGA/5/3 | 2010 |
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033212010002538 |
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数理 数理科学 | BOGA/5/3A | 2010 |
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033212015500427 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 427-482) and index |
|---|---|
| 著者標目 | *Bogachev, V. I. (Vladimir Igorevich), 1961- |
| 件 名 | LCSH:Measure theory LCSH:Theory of distributions (Functional analysis) LCSH:Sobolev spaces LCSH:Malliavin calculus |
| 分 類 | LCC:QA312 DC22:515/.42 |
| 書誌ID | 1001427847 |
| ISBN | 9780821849934 |
| NCID | BB02891467 |
| 巻冊次 | ISBN:9780821849934 |
| 登録日 | 2010.08.24 |
| 更新日 | 2017.02.18 |