Publications of the Research Institute for Mathematical Sciences
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Whittaker Functions for the Large Discrete Series Representations of SU(2, 1) and Related Zeta IntegralsHarutaka Koseki and Takayuki Oda (1) Department of Mathematics, Mie University, 1577 Kurimamachiya-cho, 514-8507, Mie-Ken, Tsu-Shi, Japan
(2) Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914, Tokyo, Japan
In terms of classical Bessel function, we represent explicitly the radial part of Whittaker functions on SU(2,1) belonging to the large discrete series representations. Moreover we compute archimedean local L-factors corresponding to a construction of L-function by Gelbart and Piatetski-Shapiro.
Koseki Harutaka, Oda Takayuki: Whittaker Functions for the Large Discrete Series Representations of SU(2, 1) and Related Zeta Integrals. Publ. Res. Inst. Math. Sci. 31 (1995), 959-999. doi: 10.2977/prims/1195163592