Fourier-Jacobi Type Spherical Functions for PJ-Principal Series Representations of Sp(2, R) |
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| Authors: | Hirano Miki |
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| Affiliation: | Department of Mathematical Sciences, Faculty of Science, Ehime University Ehime 790-8577, Japan, hirano{at}math.sci.ehime-u.ac.jp |
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| Abstract: | The paper studies a generalized spherical function, or a generalizedWhittaker model for generalized principal series representationsof G=Sp(2, R) induced from the Jacobi maximal parabolic subgroupPJ, which is called the FourierJacobi type. In particular,a multiplicity theorem and an explicit formula via the MeijerG-functions for this function are given. |
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