Symbolic calculus on nilpotent Lie groups and applications

DOI10.1016/0022-1236(91)90141-QzbMath0745.22006OpenAlexW1990395847MaRDI QIDQ1180635

Dominique Manchon

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90141-q

zbMATH Keywords

Lie algebraorbitcompact supportsmoothing operatorpseudo differential operatorirreducible unitary representationsimple connected nilpotent Lie group

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Linear operators on function spaces (general) (47B38)

Related Items (9)

États cohérents, théorie spectrale et représentations de groupes nilpotents ⋮ Quantization and Coorbit Spaces for Nilpotent Groups ⋮ Opérateurs pseudodifférentiels et représentations unitaires des groupes de Lie ⋮ Weyl symbolic calculus on any Lie group ⋮ Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits ⋮ Quantum evolution and sub-Laplacian operators on groups of Heisenberg type ⋮ Boundedness for Pseudo-differential Calculus on Nilpotent Lie Groups ⋮ Berezin-type operators on the cotangent bundle of a nilpotent group ⋮ Finite difference operators, pseudo-differential calculus and representations of Lie groups

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