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<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
出版者 Princeton, N.J. : Princeton University Press
出版年 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

所蔵情報


理系図3F 数理独自 068222193002228 TREV/10/7 1992

理系図 自動書庫 068252193008430 104/TRE 1992

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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