A01=Francois Treves
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Algebra homomorphism
Analytic function
Author_Francois Treves
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Automorphism
Basis (linear algebra)
Category1=Non-Fiction
Category=PBMP
Cauchy problem
Cauchy sequence
Cauchy-Riemann equations
Coefficient
Cohomology
Complex manifold
Complex number
Complex-analytic variety
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Corollary
CR manifold
De Rham cohomology
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Diagram (category theory)
Diffeomorphism
Differential form
Differential operator
Dirac delta function
Eigenvalues and eigenvectors
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Equation
Exact differential
Existential quantification
F-space
Formal power series
Frobenius theorem (differential topology)
Frobenius theorem (real division algebras)
H-vector
Hadamard three-circle theorem
Holomorphic function
Hypersurface
Identity matrix
Integer
Integral equation
Jacobian matrix and determinant
Language_English
Linear differential equation
Lipschitz continuity
Manifold
Mean value theorem
Monomial
Multi-index notation
Neighbourhood (mathematics)
Norm (mathematics)
Open mapping theorem (complex analysis)
Open set
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Polynomial
Power series
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Projection (linear algebra)
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Pullback
Pullback (category theory)
Pullback (differential geometry)
Riemann mapping theorem
Riemann surface
Ring homomorphism
Sesquilinear form
Sobolev space
softlaunch
Stokes' theorem
Submanifold
Subset
Support (mathematics)
Surjective function
Symplectic geometry
Symplectic vector space
Taylor series
Theorem
Unit disk
Vector bundle
Vector field
Volume form
Product details
- ISBN 9780691606705
- Weight: 709g
- Dimensions: 152 x 229mm
- Publication Date: 14 Jul 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
- Language: English
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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.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
