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arxiv: math/0510423 · v1 · submitted 2005-10-20 · 🧮 math.CA

Random Menshov spectra

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keywords almostrandomallowsconvergingeverywherefrequenciesfunctionharmonics
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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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