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International Journal of Mathematics and Mathematical Sciences
Volume 2007, Article ID 43834, 9 pages
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 Hindawi Publishing Corporation. 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.


We establish an Lp-Lq-version of Morgan's theorem for the group Fourier transform on the n-dimensional Euclidean motion group M(n).