A Note on Band-limited Minorants of an Euclidean Ball
classification
🧮 math.CA
keywords
ballband-limitedeuclideanbelowbeurling-selbergcomputeconstructioncritical
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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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