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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.

Citation

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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

Information

Published: June 2005
First available in Project Euclid: 2 August 2005

zbMATH: 1109.22009
MathSciNet: MR2159237
Digital Object Identifier: 10.3792/pjaa.81.105

Subjects:
Primary: 11F70

Keywords: Whittaker functions , Whittaker models

Rights: Copyright © 2005 The Japan Academy

Vol.81 • No. 6 • June 2005
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