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arXiv · 2104.05587

Generalized translation operator and the Heat equation for the canonical Fourier Bessel transform

Sami Ghazouani·Jihed Sahbani
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Abstract

The aim of this paper is to introduce a translation operator associated to the canonical Fourier Bessel transform $\mathcal{F}_{\nu}^{\mathbf{m}}$ and study some of the important properties. We derive a convolution product for this transform and as application we study the heat equation and the heat semigroup related to $\Delta_{\nu}^{\mathbf{m}}.$

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Sami Ghazouani, Jihed Sahbani. 2021-04-12. Generalized translation operator and the Heat equation for the canonical Fourier Bessel transform. https://arxiv.org/abs/2104.05587

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