The Weyl transformation and quantisation for locally compact abelian groups

DOI10.2977/prims/1195178513zbMath0609.43003OpenAlexW1979550810MaRDI QIDQ1086766

Mark A. Hennings

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178513

zbMATH Keywords

tempered distributionsSchwartz functionslocally compact abelian groupWeyl transformationalgebras of physical observables

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Applications of Lie groups to the sciences; explicit representations (22E70) Other transforms and operators of Fourier type (43A32)

Cites Work

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• Fourier analysis on multiple representations of locally compact Abelian groups
• Representation of nilpotent locally compact groups
• Über den Satz von Weil-Cartier
• Multipliers on Abelian groups
• Harmonic analysis and theta-functions
• Characters and contact transformations
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques

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