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Hypo-Analytic Structures : Local Theory (PMS-40)

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개인저자Treves, Franc偈ois.
서명/저자사항Hypo-Analytic Structures :Local Theory (PMS-40).
발행사항Princeton : Princeton University Press, 2014.
형태사항1 online resource (516 pages).
총서사항Princeton Mathematical Series ;v. 40
소장본 주기eBooks on EBSCOhostAll EBSCO eBooks
ISBN9781400862887
1400862884
기타표준부호10.1515/9781400862887doi
일반주기 Cover; Contents.
내용주기Frontmatter --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.
요약In 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.
일반주제명Differential 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.
언어In English.
기타형태 저록Print version:Treves, Franc偈ois.Hypo-Analytic Structures : Local Theory (PMS-40).Princeton : Princeton University Press, 짤2014
대출바로가기http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=790981

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