Fourier-Jacobi type spherical functions for principal series representations of \(\text{Sp}(2,\mathbb R)\). (Q1890411)

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scientific article; zbMATH DE number 2124628
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Fourier-Jacobi type spherical functions for principal series representations of \(\text{Sp}(2,\mathbb R)\).
scientific article; zbMATH DE number 2124628

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    Fourier-Jacobi type spherical functions for principal series representations of \(\text{Sp}(2,\mathbb R)\). (English)
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    3 January 2005
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    In this paper, we study the Fourier-Jacobi type spherical functions on \(\text{Sp}(2,\mathbb R)\) for irreducible principal series representations. We give the multiplicity theorem and an explicit formula for this function.
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