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Random Menshov spectra

Gady Kozma·Alexander Olevskii
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Abstract

We show that a spectrum of frequencies obtained by a random perturbation of the integers allows one to represent any measurable function on R by an almost everywhere converging sum of harmonics almost surely.

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Gady Kozma, Alexander Olevskii. 2005-10-20. Random Menshov spectra. https://arxiv.org/abs/math/0510423

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