On Mellin transforms of unramified Whittaker functions on GL(3,C)
type: Item
instance of: scholarly article
title: On Mellin transforms of unramified Whittaker functions on GL(3,C)
zbMATH Open document ID: 0675.33008
DOI: 10.1016/0022-247X(89)90239-4
author: Daniel Bump
author: Solomon Friedberg
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The double Mellin transform of the unramified Whittaker functions on Gl(3,\({\mathbb{C}})\) are evaluated as products of Gamma functions. Several applications of this formula are indicated. In particular, the special Whittaker function occurring in connection with the cubic theta function on Gl(3,\({\mathbb{C}})\) is evaluated in terms of the Bessel function \(K_{1/3}\).
Mathematics Subject Classification ID: 33C80
Mathematics Subject Classification ID: 43A80
zbMATH DE Number: 4105355
zbMATH Keywords: reductive group
zbMATH Keywords: Whittaker functions
zbMATH Keywords: Gl(3,\({\mathbb{C}})\)
reviewed by: W. Kugler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4105355