On unitary representations of Jacobi groups.

  title={On unitary representations of Jacobi groups.},
  author={Koichi Y. Takase},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  pages={139 - 150}
  • K. Takase
  • Published 1992
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
In Chapter 3 of [Ta], we considered a relation between cuspidal Jacobi forms and a holomorphic discrete series on the Jacobi group G. All arguments are based on Proposition 9.1 which describes the spherical function of the holomorphic discrete series on G. The proof of Proposition 9.1 was depending on Proposition 8.1. Unfortunately Proposition 8.1 is not valid in general. Counter examples will be given in §4 of this paper. The purpose of this paper is to give a new proof of Proposition 9.1. The… 
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A note on automorphic forms.
Let G be a locally compact unimodular group, K a compact subgroup of G, and Γ a closed unimodular subgroup of G. Let ρ be a finite dimensional unitary representation of Γ. The theory of automorphic
Theory of group characters
Notes prepared by T. Tsuzuku, in cooperation with T. Nakayama, P. Fong, A. Mizutani, N. Ito
Representation theory of semisimple groups
Analyse Harmonique
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Satake , Unitary representations of a semidirect product of Lie groups on J - cohomology spaces
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On unitary representations of a certain group extension, Japanese
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