## The Generalized Whittaker Functions for $SU(2,1)$ and the Fourier Expansion of Automorphic Forms

J. Math. Sci. Univ. Tokyo
Vol. 6 (1999), No. 3, Page 477--526.

Ishikawa, Yoshi-hiro
The Generalized Whittaker Functions for $SU(2,1)$ and the Fourier Expansion of Automorphic Forms
Explicit form of Fourier expansion of automorphic forms plays an important role in the theory. Here we investigate the case of $SU(2,1)$ and give an explicit formula of generalized Whittaker functions for the standard representations of the group. Together with a result of [K-O], we obtain a form of fully developed Fourier expansion of automorphic forms belonging to arbitrary standard representations.