The Hardy Uncertainty Principle Revisited

Details The Hardy Uncertainty Principle Revisited The Hardy Uncertainty Principle Revisited

2010-05-10

arxiv.org/abs/1005.1543v1

Mathematics

Analysis of PDEs

Scientific paper

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 $L^2(\Rn)$
and $\mathcal S'(\Rn)$.

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