La transformation de Fourier-Plancherel analytique des groupes de Lie. II: Les groupes nilpotents

DOI10.5802/aif.948zbMath0498.43009OpenAlexW2326959657MaRDI QIDQ1171238

Nghiêm Xuân Hai

Publication date: 1984

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1984__34_1_1_0

zbMATH Keywords

solvable Lie algebracharacteristic Weyl algebraFourier Plancherel transformobstruction 2-cocycleSchrödinger's representation

Mathematics Subject Classification ID

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

Related Items (1)

Paramétrisation du dual d'une algèbre de Lie nilpotente. (Parametrization of the dual of a nilpotent Lie algebra)

Cites Work

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• Fourier transforms of smooth functions on certain nilpotent Lie groups
• La transformation de Fourier-Plancherel analytique des groupes de Lie. I: Algèbres de Weyl et opérateurs différentiels
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• Harmonic analysis of the Poincaré group. II: The Fourier transform
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Unitary representations of solvable Lie groups

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