Analysis of second order differential operators on Heisenberg groups. II

DOI10.1016/0022-1236(92)90027-GzbMath0790.43011OpenAlexW2005123978MaRDI QIDQ1803316

Fulvio Ricci, Detlef Müller

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90027-g

zbMATH Keywords

Heisenberg groupsinvertibility of differential operatorslocally soluble differential operators

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (15)

Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group ⋮ Conformal paracontact curvature and the local flatness theorem ⋮ Estimates for spectral projection operators of the sub-Laplacian on the Heisenberg group ⋮ Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups ⋮ On the solvability of homogeneous left-invariant differential operators on the Heisenberg group ⋮ The inverse of some differential operators on the heisenberg group ⋮ Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups ⋮ Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition ⋮ Sulla risolubilita' degli operatori differenziali invarianti sul gruppo di Heisenberg ⋮ Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ Local solvability of linear differential operators with double characteristics II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group ⋮ Singular integrals with flag kernels and analysis on quadratic CR manifolds ⋮ Solvability of second-order PDOs on nilpotent groups -- a survey of recent results ⋮ An operator related to the sub-Laplacian on the quaternionic Heisenberg group

Cites Work

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• Non-elliptic Laplace equations on nilpotent Lie groups
• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• Résolubilité globale d'opérateurs différentiels invariants sur certains groupes de Lie. (Global solvability of invariant differential operators on certain Lie groups)
• Local solvability of second order differential operators on nilpotent Lie groups
• Analysis of second order differential operators on Heisenberg groups. I
• A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups.
• Calculus on Heisenberg Manifolds. (AM-119)
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

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