Concentration inequalities for Paley-Wiener spaces

Published 18 Oct 2022 in math.CA | (2210.10029v2)

Abstract: This article considers the question of how much of the mass of an element in a Paley-Wiener space can be concentracted on a given set. We seek bounds in terms of relative densities of the given set. We extend a result of Donoho and Logan from 1992 in one dimension and consider similar results in higher dimensions.

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