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Uncertainty for convolutions of sets

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arxiv 2404.12469 v1 pith:C54GNTII submitted 2024-04-18 math.CO math.CAmath.FA

classification math.COmath.CAmath.FA
keywords setsuncertaintycaseconvolutionconvolutionsformobtainsoptimal
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The paper obtains the optimal form of the uncertainty principle in the special case of convolution of sets.

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Cited by 1 Pith paper

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  1. On Fourier coefficients of sets with small doubling

    math.CO 2024-12 conditional novelty 7.0 of 10

    Under the condition 100K^2 δ ≤ 1, a set with small doubling and small Fourier coefficients must have a dense intersection with a translate of a large regular Bohr set of controlled dimension.

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