IUMJ

Title: The Hardy uncertainty principle revisited

Authors: M. Cowling, L. Escauriaza, C. E. Kenig, G. Ponce and L. Vega

Issue: Volume 59 (2010), Issue 6, 2007-2026

Abstract:

We give a real-variable proof of the Hardy uncertainty principle. The method is based on energy estimates for evolutions with positive viscosity, convexity properties of free waves with Gaussian decay at two different times, elliptic $L^2$-estimates, and the invertibility of the Fourier transform on $L^2(\mathbb{R}^n)$ and $\mathcal{S}'(\mathbb{R}^n)$.