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

A. Gasmi and M. Sifi

 Department of Mathematics, Faculty of Sciences of Tunis, Tunis 2092, Tunisia
Received 22 September 2003

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.