Hypo-Analytic Structures [electronic resource] : Local Theory (PMS-40)

상세정보

자료유형	단행본
서명/저자사항	Hypo-Analytic Structures [electronic resource]: Local Theory (PMS-40) / Francois Treves.
개인저자	Treves, Francois.
발행사항	Princeton: Princeton University Press, 2014.
형태사항	1 online resource (516 pages).
총서사항	Princeton Mathematical Series ;v. 40
기타형태 저록	Print version: Treves, Franc偈ois. Hypo-Analytic Structures : Local Theory (PMS-40). Princeton : Princeton University Press, 짤2014
ISBN	9781400862887 1400862884
기타표준부호	10.1515/9781400862887doi
일반주기	Cover; Contents.
내용주기	Frontmatter -- Contents -- Preface -- I. Formally and Locally Integrable Structures. Basic Definitions -- II. Local Approximation and Representation in Locally Integrable Structures -- III. Hypo-Analytic Structures. Hypocomplex Manifolds -- IV. Integrable Formal Structures. Normal Forms -- V. Involutive Structures With Boundary -- VI. Local Integraboity and Local Solvability in Elliptic Structures -- VII. Examples of Nonintegrability and of Nonsolvability -- VIII. Necessary Conditions for the Vanishing of the Cohomology. Local Solvability of a Single Vector Field -- IX. FBI Transform in a Hypo-Analytic Manifold -- X. Involutive Systems of Nonlinear First-Order Differential Equations -- References -- Index.
요약	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 examples 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.
일반주제명	Differential equations, Partial. Manifolds (Mathematics) Vector fields. Differential equations, Partial. Manifolds (Mathematics) Vector fields. MATHEMATICS --Geometry --Differential. MATHEMATICS --Calculus. MATHEMATICS --Mathematical Analysis. Differential equations, Partial. Manifolds (Mathematics) Vector fields.
분류기호(DDC)	515.353
언어	In English.
바로가기