The Weyl transform and the Stone-Von Neumann theorem

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


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.


Hilbert Space Unitary Representation Maslov Index Theta Series Schmidt Operator 


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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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