Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups

DOI10.1007/BF02392875zbMath0486.22006OpenAlexW2047170596WikidataQ115392307 ScholiaQ115392307MaRDI QIDQ1164723

Linda Preiss Rothschild, Lawrence J. Corwin

Publication date: 1981

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392875

zbMATH Keywords

nilpotent Lie groupsSchwartz spaceleft invariant differential operatorslocally solvablehomogeneous differential operatorlocally uniform differential structure

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Linear higher-order PDEs (35G05)

Related Items

Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group, 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), On the solvability of homogeneous left-invariant differential operators on the Heisenberg group, Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups, Another example in the solvability theory of pdo's with double characteristics, Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition, Analysis of the Kohn Laplacian on quadratic CR manifolds., Sulla risolubilita' degli operatori differenziali invarianti sul gruppo di Heisenberg, Local solvability of second order differential operators on nilpotent Lie groups, Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group, Spanning \(L^{2}\) of a nilpotent Lie group by eigenvectors of invariant differential operators

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