The Bessel‐Struve intertwining operator on ℂ and mean‐periodic functions

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.