English

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

Analysis of PDEs 2021-04-13 v1

Abstract

The aim of this paper is to introduce a translation operator associated to the canonical Fourier Bessel transform Fνm\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 Δνm.\Delta_{\nu}^{\mathbf{m}}.

Keywords

Cite

@article{arxiv.2104.05587,
  title  = {Generalized translation operator and the Heat equation for the canonical Fourier Bessel transform},
  author = {Sami Ghazouani and Jihed Sahbani},
  journal= {arXiv preprint arXiv:2104.05587},
  year   = {2021}
}