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FOURIER–JACOBI TYPE SPHERICAL FUNCTIONS FOR $P_J$-PRINCIPAL SERIES REPRESENTATIONS OF ${\rm Sp}(2, {\bf R})$
Published online by Cambridge University Press: 24 March 2003
Abstract
The paper studies a generalized spherical function, or a generalized Whittaker model for generalized principal series representations of $G={\rm Sp}(2,{\bf R})$ induced from the Jacobi maximal parabolic subgroup $P_{\rm J}$ , which is called the Fourier–Jacobi type. In particular, a multiplicity theorem and an explicit formula via the Meijer $G$ -functions for this function are given.
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- Research Article
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- The London Mathematical Society, 2002
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