Secondary Whittaker functions for $P_J$-principal series representations of $Sp(3,\mathbf {R})$

Miki Hirano; Takayuki Oda

doi:10.3792/pjaa.81.105

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June 2005 Secondary Whittaker functions for $P_J$-principal series representations of $Sp(3,\mathbf {R})$

Miki Hirano, Takayuki Oda

Proc. Japan Acad. Ser. A Math. Sci. 81(6): 105-109 (June 2005). DOI: 10.3792/pjaa.81.105

Abstract

In this paper, we give explicit formulas for the secondary Whittaker functions for $P_J$-principal series representations of $Sp(3,{\mathbf R})$, which are power series solutions of a holonomic system of rank 24.

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Miki Hirano. Takayuki Oda. "Secondary Whittaker functions for $P_J$-principal series representations of $Sp(3,\mathbf {R})$." Proc. Japan Acad. Ser. A Math. Sci. 81 (6) 105 - 109, June 2005. https://doi.org/10.3792/pjaa.81.105