The Generalized Whittaker Functions for $SU(2,1)$ and the Fourier Expansion of Automorphic Forms
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
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]
Abstract:
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.
Mathematics Subject Classification (1991): Primary 11F70; Secondary 11F30, 22E30, 33C15
Mathematical Reviews Number: MR1726680
Received: 1998-11-13