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The generalized Whittaker functions for $SU(2,1)$ and the Fourier expansion of automorphic forms

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. Togather with a result of [2], we obtain a form of fully …