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arXiv · 1704.00837

A Note on Band-limited Minorants of an Euclidean Ball

Felipe Gonçalves
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Abstract

We study the Beurling-Selberg problem of finding band-limited $L^1$-functions that lie below the indicator function of an Euclidean ball. We compute the critical radius of the support of the Fourier transform for which such construction can have a positive integral.

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Felipe Gonçalves. 2017-12-08. A Note on Band-limited Minorants of an Euclidean Ball. https://arxiv.org/abs/1704.00837

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