<図書>
Hypo-analytic structures : local theory
| 責任表示 | François Treves |
|---|---|
| シリーズ | Princeton mathematical series ; 40 |
| データ種別 | 図書 |
| 出版情報 | Princeton, N.J. : Princeton University Press , c1992 |
| 本文言語 | 英語 |
| 大きさ | xvii, 497 p. ; 25 cm |
| 概要 | In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main exam...les are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometric entities attached to those structures are isolated, such as maximally real submanifolds and orbits of the system. Treves discusses the existence, uniqueness, and approximation of local solutions to homogeneous and inhomogeneous equations and delimits their supports. The contents of this book consist of many results accumulated in the last decade by the author and his collaborators, but also include classical results, such as the Newlander-Nirenberg theorem. The reader will find an elementary description of the FBI transform, as well as examples of its use. Treves extends the main approximation and uniqueness results to first-order nonlinear equations by means of the Hamiltonian lift. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6982017 |
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 | TREV/10/7 | 1992 |
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068222193002228 |
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理系図 自動書庫 | 104/TRE | 1992 |
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068252193008430 |
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書誌詳細
| 一般注記 | Bibliography: p. [485]-491 Includes index |
|---|---|
| 著者標目 | *Trèves, François, 1930- |
| 件 名 | LCSH:Differential equations, Partial LCSH:Manifolds (Mathematics) LCSH:Vector fields |
| 分 類 | LCC:QA377 DC20:515/.353 NDC8:413.63 |
| 書誌ID | 1000028381 |
| ISBN | 069108744X |
| NCID | BA1926468X |
| 巻冊次 | ISBN:069108744X ; PRICE:$59.95 |
| 登録日 | 2009.09.10 |
| 更新日 | 2009.09.17 |
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