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 languageEnglish
Pages (from-to)55-59
Number of pages5
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume76
Issue number5
Publication statusPublished - 2000

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Whittaker Function
Automorphic Forms
Fourier Expansion
Generalized Functions
Explicit Formula
Arbitrary
Standards
Form

Keywords

  • Automorphic forms
  • Fourier expansion
  • Generalized Whittaker functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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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.",
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