Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields

DOI10.1007/BF01241132zbMath0834.35004OpenAlexW2025822366MaRDI QIDQ1895682

Paulo D. Cordaro, François Treves

Publication date: 13 August 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144279

zbMATH Keywords

Poincaré lemmahypo-analytic structure

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Linear first-order PDEs (35F05) Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Differential complexes (58J10) CR structures, CR operators, and generalizations (32V05) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items

Complex symplectic geometry and solvability of systems of analytic vector fields ⋮ Global solvability of real analytic involutive systems on compact manifolds ⋮ On the solvability of linear partial differential equations in spaces of hyperfunctions ⋮ Local exactness in a class of differential complexes ⋮ Local solvability for a class of differential complexes ⋮ Regularity of \(\overline\partial_b\) complex on nondegenerate Cauchy-Riemann manifolds

Cites Work

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• Hyperfunctions on Hypo-Analytic Manifolds (AM-136)
• On the Local Solvability for Top-Degree Forms in Hypo-Analytic Structures