Whittaker functions of generalized principal series on $SU (2,2)$

Calculus of Principal Series Whittaker Functions on Gl(3,c)

In this paper, we discuss the Whittaker functions for the non-spherical principal series representations of GL(3,C). In particular, we give explicit formulas for these functions.

CALCULUS OF PRINCIPAL SERIES WHITTAKER FUNCTIONS ON SL(n,R)

We study Whittaker functions for the principal series representation of SL(n,R). We derive a system of partial differential equations characterizing our Whittaker functions. We give explicitly power series solutions at the regular singularity of the system, and integral representations of unique moderate growth Whittaker function. Introduction In this paper we explicitly determine the radial pa...

UTMS 2003 – 33 July 11 , 2003 Principal series Whittaker functions on

ON p-ADIC GENERALIZED WHITTAKER FUNCTIONS ON GSp(4)

Let G be a connected reductive algebraic group defined over a non-Archimedean local field F . The study of Whittaker functions on G has a long history. For example, if G = GL(2), an explicit formula for the Whittaker function is well-known (See [5]). Shintani proved an explicit formula for the case G = GL(n) and expressed it by Schur polynomials in [16]. Casselman and Shalika generalized Shinta...

WHITTAKER FUNCTIONS FOR PJ-PRINCIPAL SERIES REPRESENTATIONS OF Sp(3,R)

In this paper, we give explicit formulas for the secondary and the primary Whittaker functions for PJ -principal series representations of Sp(3,R). 2000 Mathematics Subject Classification: Primary 11F70.