Elliptic and subelliptic estimates for operators in an enveloping algebra

DOI10.1215/S0012-7094-80-04748-1zbMath0466.35026OpenAlexW1563157229MaRDI QIDQ1155190

Roe Goodman

Publication date: 1980

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-80-04748-1

zbMATH Keywords

universal enveloping algebrasLie groupsunitary representationrepresentationsuniversal enveloping algebrapartial differential operatorspseudo-differential operatorssubelliptic estimatescoercive operatorshypoelliptic partial differential operators

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Hypoelliptic equations (35H10) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

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Cocycle rigidity of abelian partially hyperbolic actions ⋮ Résolubilité d'équations différentielles et représentation induites. (Solubility of differential equations and induced representations) ⋮ Meromorphic continuation approach to noncommutative geometry ⋮ Conditions necessaires d'hypoanalyticite pour des opérateurs invariants à gauche homogenes sur un groupe nilpotent gradue ⋮ Interpolation Spaces and Unitary Representations ⋮ Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups ⋮ Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems ⋮ Group algebras with a unique C*-norm

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