Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent lie groups

DOI10.1080/03605308108820187zbMath0477.58032OpenAlexW2019793148MaRDI QIDQ3935184

David S. Tartakoff, Linda Preiss Rothschild

Publication date: 1981

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308108820187

zbMATH Keywords

Plancherel formulauniversal enveloping algebra2-step nilpotent groupselliptic in generating directionsinversion of analytic matriceslocal solvability of some invariant differential operators on nilpotent Lie groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Differential complexes (58J10) Analysis on other specific Lie groups (43A80)

Related Items

Solvability of invariant differential operators with variable coefficients, Inverses and Parametrices for Right-Invariant Pseudodifferential Operators on Two-Step Nilpotent Lie Groups, Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups, Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations), Résolubilité d'opérateurs différentiels sur des espaces symétriques nilpotents. (Solvability of differential operators on symmetric nilpotent spaces), Local solvability of second order differential operators on nilpotent Lie groups, Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group, Necessary and sufficient conditions hypoellipticity of certain left invariant operators on nilpotent lie groups, Conditions suffisantes de resolubilite locale d'operteurs invariants a gauche sur des groupes nilpotents, The fourier integral transform on nilpotent lie groups

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