Translation-invariant traces and Fourier analysis on multiplier representation of vector groups

DOI10.1016/0034-4877(78)90060-5zbMath0392.43005OpenAlexW2042642994MaRDI QIDQ1251776

Robin L. Hudson

Publication date: 1978

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(78)90060-5

zbMATH Keywords

Fourier AnalysisBorel MultiplierCanonical Fourier TransformationEnveloping Von Neumann AlgebraFourier-Plancherel TransformationMultiplier RepresentationNoncommutative L2 SpaceTranslation-Invariant TracesVector GroupWeyl Commutation Relations

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

Projective Fourier duality and Weyl quantization, Translation-invariant integrals, and Fourier analysis on Clifford and Grassmann algebras

Cites Work

• Unitary representations of group extensions. I
• On unitary ray representations of continuous groups
• Mathematical Aspects of the Weyl Correspondence
• Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.
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