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arXiv · 1812.01949

A heat kernel version of Miyachi's Theorem for the Laguerre hypergroup

Mohammed El Kassimi·Said Fahlaoui
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Abstract

Let $\mathbb{K}=[0,+\infty[\times\mathbb{R}$ the Laguerre Hypergroup. In this paper, we are going to formulate and prove an analogue of Miyachi's uncertainty principle for the Laguerre-Hypergroup Fourier transform. Our version will be in terms of the heat kernel associated to the radial part of the sub-Laplacian on the Heisenberg group.

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Mohammed El Kassimi, Said Fahlaoui. 2018-12-05. A heat kernel version of Miyachi's Theorem for the Laguerre hypergroup. https://arxiv.org/abs/1812.01949

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