A heat kernel version of Miyachi's Theorem for the Laguerre hypergroup
Classical Analysis and ODEs
2018-12-06 v1
Abstract
Let 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.
Keywords
Cite
@article{arxiv.1812.01949,
title = {A heat kernel version of Miyachi's Theorem for the Laguerre hypergroup},
author = {Mohammed El Kassimi and Said Fahlaoui},
journal= {arXiv preprint arXiv:1812.01949},
year = {2018}
}