International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 59, Pages 3171-3185
doi:10.1155/S0161171204309178
The Bessel-Struve intertwining operator on ℂ and mean-periodic functions
Department of Mathematics, Faculty of Sciences of Tunis, Tunis 2092, Tunisia
Received 22 September 2003
Copyright © 2004 A. Gasmi and M. Sifi. 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 give a description of all transmutation operators from the Bessel-Struve operator to the second-derivative operator. Next we define and characterize the mean-periodic functions on the space ℋ of entire functions and we characterize the continuous linear mappings from ℋ into itself which commute with Bessel-Struve operator.