On the solvability of homogeneous left-invariant differential operators on the Heisenberg group

DOI10.1006/jfan.1996.3076zbMath0887.43004OpenAlexW1990387361MaRDI QIDQ1368849

Marco M. Peloso, Detlef Müller, Fulvio Ricci

Publication date: 12 May 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3076

zbMATH Keywords

Heisenberg groupsolvabilityLie algebraleft-invariant differential operator

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (4)

A note on monotonicity and Bochner formulas in Carnot groups ⋮ Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition ⋮ Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group ⋮ Local solvability of linear differential operators with double characteristics II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group

Cites Work

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• Compatibility operators for degenerated elliptic equations on the ball and Heisenberg group
• Local solvability of second order differential operators on nilpotent Lie groups
• Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups
• Analysis of second order differential operators on Heisenberg groups. II
• Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
• Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups
• An unsolvable hypoelliptic differential operator
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Necessary and sufficient conditions for solvability of the Lewy equation
• A Homogeneous, Globally Solvable Differential Operator on a Nilpotent Lie Group which has no Tempered Fundamental Solution

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