TY  - GEN
T1  - Hypo-Analytic Structures : Local Theory (PMS-40).
T2  - Princeton mathematical series.
A1  - Treves, François
LA  - English
PP  - Princeton
PB  - Princeton University Press
YR  - 2014
UL  - https://ebooks.jgu.edu.in/Record/jstor_eba_ocn884012968
AB  - 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.
OP  - 516
NO  - Cover; Contents.
CN  - QA377 .T682 2014
SN  - 9781400862887
SN  - 1400862884
KW  - Differential equations, Partial.
KW  - Manifolds (Mathematics)
KW  - Vector fields.
KW  - Équations aux dérivées partielles.
KW  - Variétés (Mathématiques)
KW  - Champs vectoriels.
KW  - MATHEMATICS : Geometry : Differential.
KW  - MATHEMATICS : Calculus.
KW  - MATHEMATICS : Mathematical Analysis.
KW  - Differential equations, Partial
KW  - Vector fields
KW  - Algebra homomorphism.
KW  - Analytic function.
KW  - Automorphism.
KW  - Basis (linear algebra).
KW  - Bijection.
KW  - Bounded operator.
KW  - C0.
KW  - CR manifold.
KW  - Cauchy problem.
KW  - Cauchy sequence.
KW  - Cauchy-Riemann equations.
KW  - Characterization (mathematics).
KW  - Coefficient.
KW  - Cohomology.
KW  - Commutative property.
KW  - Commutator.
KW  - Complex dimension.
KW  - Complex manifold.
KW  - Complex number.
KW  - Complex space.
KW  - Complex-analytic variety.
KW  - Continuous function (set theory).
KW  - Corollary.
KW  - Coset.
KW  - De Rham cohomology.
KW  - Diagram (category theory).
KW  - Diffeomorphism.
KW  - Differential form.
KW  - Differential operator.
KW  - Dimension (vector space).
KW  - Dirac delta function.
KW  - Dirac measure.
KW  - Eigenvalues and eigenvectors.
KW  - Embedding.
KW  - Equation.
KW  - Exact differential.
KW  - Existential quantification.
KW  - Exterior algebra.
KW  - F-space.
KW  - Formal power series.
KW  - Frobenius theorem (differential topology).
KW  - Frobenius theorem (real division algebras).
KW  - H-vector.
KW  - Hadamard three-circle theorem.
KW  - Hahn-Banach theorem.
KW  - Holomorphic function.
KW  - Hypersurface.
KW  - Hölder condition.
KW  - Identity matrix.
KW  - Infimum and supremum.
KW  - Integer.
KW  - Integral equation.
KW  - Integral transform.
KW  - Intersection (set theory).
KW  - Jacobian matrix and determinant.
KW  - Linear differential equation.
KW  - Linear equation.
KW  - Linear map.
KW  - Lipschitz continuity.
KW  - Manifold.
KW  - Mean value theorem.
KW  - Method of characteristics.
KW  - Monomial.
KW  - Multi-index notation.
KW  - Neighbourhood (mathematics).
KW  - Norm (mathematics).
KW  - One-form.
KW  - Open mapping theorem (complex analysis).
KW  - Open mapping theorem.
KW  - Open set.
KW  - Ordinary differential equation.
KW  - Partial differential equation.
KW  - Poisson bracket.
KW  - Polynomial.
KW  - Power series.
KW  - Projection (linear algebra).
KW  - Pullback (category theory).
KW  - Pullback (differential geometry).
KW  - Pullback.
KW  - Riemann mapping theorem.
KW  - Riemann surface.
KW  - Ring homomorphism.
KW  - Sesquilinear form.
KW  - Sobolev space.
KW  - Special case.
KW  - Stokes' theorem.
KW  - Stone-Weierstrass theorem.
KW  - Submanifold.
KW  - Subset.
KW  - Support (mathematics).
KW  - Surjective function.
KW  - Symplectic geometry.
KW  - Symplectic vector space.
KW  - Taylor series.
KW  - Theorem.
KW  - Unit disk.
KW  - Upper half-plane.
KW  - Vector bundle.
KW  - Vector field.
KW  - Volume form.
ER  -