Homeomorphisms and fourier expansion

REAL ANALYSIS EXCHANGE(2023)

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摘要
We survey our recent result that for every continuous function there is an absolutely continuous homeomorphism such that the composition has a uniformly converging Fourier expansion. We mention the history of the problem, orginally stated by Luzin, and some details of the proof.
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关键词
Luzin's conjecture,random homeomorphisms
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