A note on band-limited minorants of an Euclidean ball

Gonçalves, Felipe

doi:10.1090/proc/13877

A note on band-limited minorants of an Euclidean ball
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Proc. Amer. Math. Soc. 146 (2018), 2063-2068 Request permission

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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