Hypo-Analytic Structures (PMS-40), Volume 40 : Local Theory (PMS-40) /

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 t...

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Bibliographic Details
Main Author:	Treves, François (Author, http://id.loc.gov/vocabulary/relators/aut)
Format:	Book
Language:	English
Published:	Princeton, NJ : Princeton University Press, [2014]
Edition:	Course Book
Series:	Princeton mathematical series ; 214
Subjects:	Differential equations, Partial > ^A1011289 Manifolds (Mathematics) > ^A1036773 Vector fields > ^A1072760 MATHEMATICS / Geometry / Differential Algebra homomorphism Analytic function Automorphism Basis (linear algebra) Bijection Bounded operator C0 CR manifold Cauchy problem Cauchy sequence Cauchy-Riemann equations Characterization (mathematics) Coefficient Cohomology Commutative property Commutator Complex dimension Complex manifold Complex number Complex space Complex-analytic variety Continuous function (set theory) Corollary Coset De Rham cohomology Diagram (category theory) Diffeomorphism Differential form Differential operator Dimension (vector space) Dirac delta function Dirac measure Eigenvalues and eigenvectors Embedding Equation Exact differential Existential quantification Exterior algebra F-space Formal power series Frobenius theorem (differential topology) Frobenius theorem (real division algebras) H-vector Hadamard three-circle theorem Hahn-Banach theorem Holomorphic function Hypersurface Hölder condition Identity matrix Infimum and supremum Integer Integral equation Integral transform Intersection (set theory) Jacobian matrix and determinant Linear differential equation Linear equation Linear map Lipschitz continuity Manifold Mean value theorem Method of characteristics Monomial Multi-index notation Neighbourhood (mathematics) Norm (mathematics) One-form Open mapping theorem (complex analysis) Open mapping theorem Open set Ordinary differential equation Partial differential equation Poisson bracket Polynomial Power series Projection (linear algebra) Pullback (category theory) Pullback (differential geometry) Pullback Riemann mapping theorem Riemann surface Ring homomorphism Sesquilinear form Sobolev space Special case Stokes' theorem Stone-Weierstrass theorem Submanifold Subset Support (mathematics) Surjective function Symplectic geometry Symplectic vector space Taylor series Theorem Unit disk Upper half-plane Vector bundle Vector field Volume form

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Hypo-Analytic Structures (PMS-40), Volume 40 : Local Theory (PMS-40) /

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