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

Yoshi Hiro Ishikawa

doi:10.3792/pjaa.76.55

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

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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 [2], we obtain a form of fully developed Fourier expansion of automorphic forms belonging to arbitrary standard representations.

Original language	English
Pages (from-to)	55-59
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	76
Issue number	5
DOIs	https://doi.org/10.3792/pjaa.76.55
Publication status	Published - 2000

Keywords

Automorphic forms
Fourier expansion
Generalized Whittaker functions

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.76.55

Cite this

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

Abstract

Keywords

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