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The Weyl transform and the Stone-Von Neumann theorem

  • Gérard Lion
  • Michèle Vergne
Part of the Progress in Mathematics book series (PM, volume 6)

Abstract

Let G be a topological group, A unitary representation T of G in the Hubert space H is a homomorphism g → T(g) of G in the group of unitary operators on H (i.e. T(g1 g2) = T(g1) · T(g2). We also require the continuity of the maps from G to H given by g → T(g)x for every x ∈ H.

Keywords

Hilbert Space Unitary Representation Maslov Index Theta Series Schmidt Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Gérard Lion
    • 1
  • Michèle Vergne
    • 2
  1. 1.X U.E.R. de Sciences EconomiquesUniversité de ParisNanterreFrance
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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