Uncertainty Principles for Heisenberg Motion Group

Abstract

In this article, we will recall the main properties of the Fourier transform on the Heisenberg motion group G=ℍn⋊K, where K=Un and ℍn=ℂn×ℝ denote the Heisenberg group. Then, we will present some uncertainty principles associated to this transform as Beurling, Hardy, and Gelfand-Shilov.