A discrete Hardy's Uncertainty Principle and discrete evolutions

2015/05/30 by Aingeru Fernández-Bertolin, Fernández-Bertolin, Aingeru
Mathematics · #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #math.AP #math.CV

paper · pdf · doi:10.48550/arxiv.1506.00119

15 pages, 2 figures

arxiv created 2015/05/30 · arxiv updated 2015/06/02

Abstract

In this paper we give a discrete version of Hardy's uncertainty principle, by using complex variable arguments, as in the classical proof of Hardy's principle. Moreover, we give an interpretation of this principle in terms of decaying solutions to the discrete Schrödinger and heat equations.

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