On unitary representations of Jacobi groups.

@article{Takase1992OnUR,
  title={On unitary representations of Jacobi groups.},
  author={Koichi Y. Takase},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  year={1992},
  volume={1992},
  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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