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arXiv · 2112.00078

Luzin's problem on Fourier convergence and homeomorphisms

Gady Kozma·Alexander Olevskii
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Abstract

We show that for every continuous function there exists an absolutely continuous homeomorphism of the circle such that the Fourier series of the composition converges uniformly. This resolves a problem set by N. N. Luzin.

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Gady Kozma, Alexander Olevskii. 2021-11-30. Luzin's problem on Fourier convergence and homeomorphisms. https://arxiv.org/abs/2112.00078

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