Homology and cohomology in hypo-analytic structures of the hypersurfaces type

DOI10.1007/BF02938114zbMath0724.32009OpenAlexW1999247070MaRDI QIDQ2644807

Paulo D. Cordaro, François Treves

Publication date: 1991

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02938114

zbMATH Keywords

cohomologyhomologycurrentdifferential complexlocal solvabilitydifferential formsheaflocal exactnesshypo-analytic structurelocally integrable system of vector fields

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) Functional equations and inequalities (39B99) Deformations of analytic structures (32G99)

Related Items (14)

On the local solvability of certain overdetermined systems of first-order linear PDE ⋮ Real-analytic solvability for differential complexes associated to locally integrable structures ⋮ Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ On the range of unsolvable systems induced by complex vector fields ⋮ Local exactness in a class of differential complexes ⋮ Gevrey local solvability in locally integrable structures ⋮ Local solvability in a class of overdetermined systems of linear PDE ⋮ On planar elliptic structures with infinite type degeneracy ⋮ On local solvability of certain differential complexes ⋮ Solvability near the characteristic set for a class of planar vector fields of infinite type. ⋮ Local solvability for a class of differential complexes ⋮ Top-degree global solvability in CR and locally integrable hypocomplex structures ⋮ The Mizohata complex

Cites Work

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• On the local solvability and the local integrability of systems of vector fields
• Microlocal hypo-analyticity and extension of CR functions
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Local solvability in a class of overdetermined systems of linear PDE
• Study of a model in the theory of complexes of pseudodifferential operators
• On Local Solvability of Underdetermined Systems of Vector Fields
• On the Local Solvability for Top-Degree Forms in Hypo-Analytic Structures
• Solvability of a first order linear partial differential equation
• Differential equations without solutions

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