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Invariant Hilbert subspaces of the oscillator representation

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Publication:1432894
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DOI10.1016/S0019-3577(03)90048-6zbMath1052.22011OpenAlexW2056111996MaRDI QIDQ1432894

Gerrit Van Dijk, Sofía Aparicio Secanellas, Michael Pevzner

Publication date: 22 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(03)90048-6

zbMATH Keywords

oscillator representationinvariant Hilbert spaces


Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)


Related Items

Theory of subdualities, Covariant quantization: spectral analysis versus deformation theory



Cites Work

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  • Distributions coniques associées au groupe orthogonal O(p,q)
  • On some results of Strichartz and of Rallis and Schiffman
  • On a class of generalized Gelfand pairs
  • Sur certains groupes d'opérateurs unitaires
  • Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
  • Transcending Classical Invariant Theory
  • Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II
  • Distributions Invariant under an Orthogonal Group of Arbitrary Signature.
  • Harmonic Analysis in Phase Space. (AM-122)
  • Linear Symmetries of Free Boson Fields
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