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 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. Originally published in 1993.
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By:
François Treves Imprint: Princeton University Press Country of Publication: United States Volume: 4486 Dimensions:
Height: 229mm,
Width: 152mm,
Spine: 29mm
Weight: 879g ISBN:9780691635415 ISBN 10: 0691635412 Series:Princeton Legacy Library Pages: 516 Publication Date:28 June 2016 Audience:
College/higher education
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Professional and scholarly
,
Primary
,
Undergraduate
Format:Hardback Publisher's Status: Active