On the Harmonic Analysis Associated to the Bessel-Struve Operator

Abstract

In this paper, we introduce the Bessel-Struve transform, we establish an inversion theorem of the Weyl integral transform associated with this transform, in the case of half integers, we give a characterization of the range of $\mathcal{D}(\mathbb{R})$ by Bessel-Struve transform and we prove a Schwartz-Paley-Wiener theorem on ${\mathcal{E}}^{\prime }(\mathbb{R})$.

References in corpus (1)

• Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions