An explicit integral representation of Whittaker functions for the representations of the discrete series -- the case of \(SU(2,2)\)
type: Item
instance of: scholarly article
title: An explicit integral representation of Whittaker functions for the representations of the discrete series -- the case of \(SU(2,2)\)
zbMATH Open document ID: 0910.22012
author: Takahiro Hayata
author: Takayuki Oda
published in: Journal of Mathematics of Kyoto University
publication date: 1999-04-15T00:00:00Z
review text: The article is connected to work of the first named author [ibid. 37, 531-546 (1997; see the following review; Zbl 0910.22013)]. It is concerned with the study of Whittaker vectors of large discrete series representations of the group \(SU(2,2)\). The authors review results of \textit{H. Yamashita} [ibid. 31, 543-571 (1991; Zbl 0745.22012)] giving differential equations for the Whittaker vectors and obtain integral representations.
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 33C80
zbMATH DE Number: 1189516
zbMATH Keywords: Whittaker vectors
zbMATH Keywords: Whittaker functions
zbMATH Keywords: discrete series
zbMATH Keywords: unitary groups
reviewed by: Rainer Schulze-Pillot
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250518270
OpenAlex ID: W2012494113
DOI: 10.1215/KJM/1250518270
description: scientific article; zbMATH DE number 1189516