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arXiv · 1010.1194

On the Harmonic Analysis Associated to the Bessel-Struve Operator

Lotfi Kamoun·Selma Negzaoui
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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 $\mathcal{E}'(\mathbb{R})$.

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Lotfi Kamoun, Selma Negzaoui. 2010-10-06. On the Harmonic Analysis Associated to the Bessel-Struve Operator. https://arxiv.org/abs/1010.1194

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