A measure with small support and p-summable Fourier transform

2024/12/10 by Nikita P. Dobronravov, Dobronravov, Nikita P.
Mathematics · #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2412.07314

Abstract

We construct a probability measure μ supported on a set of zero 2d/p-Hausdorff measure such that μ∈ L_p(ℝ^d).

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