Convexité pour les opérateurs différentiels invariants sur les groupes de Lie

DOI10.1007/BF01215244zbMath0387.43007MaRDI QIDQ5966978

David Wigner, Michel Duflo

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172838

zbMATH Keywords

convexityLie groupinvariant differential operator

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items

Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups, Résolubilité globale d'opérateurs différentiels invariants sur certains groupes de Lie. (Global solvability of invariant differential operators on certain Lie groups), Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations), Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups, Unnamed Item, Invariant differential operators and P-convexity of solvable Lie groups

Cites Work

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• Global solvability of the Casimir operator
• Biinvariant operators on nilpotent Lie groups
• The surjectivity of invariant differential operators on symmetric spaces. I
• Two theorems on semi-simple Lie groups
• On the existence and the regularity of solutions of linear pseudo- differential equations
• Deformations of Lie subgroups and the variation of isotropy subgroups
• Differential equations and an analog of the Paley-Wiener theorem for linear semisimple Lie groups