Adapted Fourier transform of Schwartz spaces for certain nilpotent Lie groups

DOI10.1016/0393-0440(89)90022-3zbMath0714.43005OpenAlexW1971579254WikidataQ115363152 ScholiaQ115363152MaRDI QIDQ750809

Hamid Zahir

Publication date: 1989

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(89)90022-3

zbMATH Keywords

Fourier transformintertwining operatornilpotent Lie groupcoadjoint orbitssymplectic manifoldweighted spaceleft regular representationSchwartz class functionssmooth star product

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80)

Related Items (1)

On the nilpotent \(*\)-Fourier transform

Cites Work

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• Symbols and orbits for 3-step nilpotent Lie groups
• Nilpotent Fourier transform and applications
• Deformations on coadjoint orbits
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente

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