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arXiv · 2306.17325

Homeomorphisms and Fourier expansion

Gady Kozma·Alexander Olevskii
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Abstract

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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Gady Kozma, Alexander Olevskii. 2023-06-29. Homeomorphisms and Fourier expansion. https://arxiv.org/abs/2306.17325

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