  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.

Classical Analysis and ODEs