Hypo-Analytic Structures : Local Theory (PMS-40).
Material type: TextSeries: Princeton mathematical seriesPublication details: Princeton : Princeton University Press, 2014.Description: 1 online resource (516 pages)Content type:- text
- computer
- online resource
- 9781400862887
- 1400862884
- Differential equations, Partial
- Manifolds (Mathematics)
- Vector fields
- Équations aux dérivées partielles
- Variétés (Mathématiques)
- Champs vectoriels
- MATHEMATICS -- Geometry -- Differential
- MATHEMATICS -- Calculus
- MATHEMATICS -- Mathematical Analysis
- Differential equations, Partial
- Manifolds (Mathematics)
- Vector fields
- 515.353 515/.353
- QA377 .T682 2014
Item type | Home library | Collection | Call number | Materials specified | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Electronic-Books | OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Print version record.
Cover; Contents.
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.
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.
In English.
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