International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 43834, 9 pages
doi:10.1155/2007/43834
Research Article
An Lp-Lq-Version of Morgan's Theorem for the n-Dimensional Euclidean Motion Group
Département de Mathématiques, Faculté des Sciences de Monastir, Université de Monastir, Monastir 5019, Tunisia
Received 9 August 2006; Revised 11 January 2007; Accepted 15 January 2007
Academic Editor: Wolfgang zu Castell
Copyright © 2007 Sihem Ayadi and Kamel Mokni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We establish an Lp-Lq-version of Morgan's theorem for the group Fourier transform on the n-dimensional Euclidean motion group M(n).