JournalsprimsVol. 31 , No. 6DOI 10.2977/prims/1195163592

Whittaker Functions for the Large Discrete Series Representations of <i>SU</i>(2, 1) and Related Zeta Integrals

  • Harutaka Koseki

    Mie University, Mie-Ken, Tsu-Shi, Japan
  • Takayuki Oda

    University of Tokyo, Japan
Whittaker Functions for the Large Discrete Series Representations of <i>SU</i>(2, 1) and Related Zeta Integrals cover

Abstract

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.