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Fourier–Jacobi Type Spherical Functions for Discrete Series Representations of Sp(2, $\Bbb R$)
Published online by Cambridge University Press: 04 December 2007
Abstract
In this paper we define a kind of generalized spherical functions on Sp(2, $\Bbb R$). 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, $\Bbb R$).
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- © 2001 Kluwer Academic Publishers
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