The generalized Whittaker functions for \(SU\)(2,1) and the Fourier expansion of automorphic forms
type: Item
instance of: scholarly article
title: The generalized Whittaker functions for \(SU\)(2,1) and the Fourier expansion of automorphic forms
zbMATH Open document ID: 1005.11025
author: Yoshi-hiro Ishikawa
published in: Proceedings of the Japan Academy. Series A
publication date: 2001-02-28T00:00:00Z
review text: [See the review of the full version in J. Math. Sci., Tokyo 6, 477-526 (1999; Zbl 0999.11028).] The explicit form of the 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 \textit{H. Koseki} and \textit{T. Oda} [Publ. Res. Inst. Math. Sci. 31, 959-999 (1995; Zbl 0867.11039)], we obtain a form of fully developed Fourier expansion of automorphic forms belonging to arbitrary standard representations.
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 1538522
MaRDI profile type: Publication
full work available at URL: pjaa.76.55
OpenAlex ID: W2112004541
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DOI: 10.3792/PJAA.76.55
description: scientific article; zbMATH DE number 1538522