Cyclic vectors for Hilbert algebras

DOI10.1007/BF00992084zbMath0806.22008OpenAlexW2051169482MaRDI QIDQ1308953

Xiu-Chi Quan

Publication date: 13 February 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00992084

zbMATH Keywords

Heisenberg groupHilbert-Schmidt operatorsStone-von Neumann theoremcyclic unitary representationinfinite dimensional irreducible representationrestriction to the center

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Induced representations for locally compact groups (22D30)

Cites Work

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• Induced representations and a new proof of the imprimitivity theorem
• Square-integrable representations of Hilbert algebras
• Harmonic Analysis in Phase Space. (AM-122)
• Mathematical Aspects of the Weyl Correspondence