Whittaker Functions for the Large Discrete Series Representations of and Related Zeta Integrals

  • Harutaka Koseki

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

    University of Tokyo, Japan

Abstract

In terms of classical Bessel function, we represent explicitly the radial part of Whittaker functions on belonging to the large discrete series representations. Moreover we compute archimedean local -factors corresponding to a construction of -function by Gelbart and Piatetski–Shapiro.

Cite this article

Harutaka Koseki, Takayuki Oda, Whittaker Functions for the Large Discrete Series Representations of and Related Zeta Integrals. Publ. Res. Inst. Math. Sci. 31 (1995), no. 6, pp. 959–999

DOI 10.2977/PRIMS/1195163592