Hypoellipticity in the tangential Cauchy-Riemann complex

DOI10.1215/S0012-7094-94-07302-XzbMath0804.35023MaRDI QIDQ1325151

Gábor Francsics

Publication date: 15 January 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

wave front settangential Cauchy-Riemann operatormicrolocal homotopy formulas

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hypoelliptic equations (35H10) CR structures, CR operators, and generalizations (32V05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Cites Work

• On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables
• Pseudo-differential operators and non-elliptic boundary problems
• On the extension of holomorphic functions from the boundary of a complex manifold
• A pseudo-convex domain not admitting a holomorphic support function
• Homotopy formulas in the tangential Cauchy-Riemann complex
• Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR-functions
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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