Fourier–Jacobi Type Spherical Functions for Discrete Series Representations of Sp(2, R)
Tóm tắt
In this paper we define a kind of generalized spherical functions on Sp(2, R). We call it ‘Fourier–Jacobi type’, since it can be considered as a generalized Whittaker model associated with the Jacobi maximal parabolic subgroup. Also we give the multiplicity theorem and an explicit formula of these functions for discrete series representations of Sp(2, R).
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