Geodesic
Luzin's Problem on Fourier Convergence and Homeomorphisms
Informatics and Automation, Approximation Theory, Functional Analysis, and Applications, Tome 319 (2022), pp. 134-181.

Voir la notice de l'article provenant de la source Math-Net.Ru

We show that for every continuous function $f$ there exists an absolutely continuous circle homeomorphism $\phi $ such that the Fourier series of $f\circ \phi $ converges uniformly. This resolves a problem posed by N. N. Luzin. 
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Gady Kozma; Alexander Olevskiǐ. Luzin's Problem on Fourier Convergence and Homeomorphisms. Informatics and Automation, Approximation Theory, Functional Analysis, and Applications, Tome 319 (2022), pp. 134-181. http://geodesic.mathdoc.fr/item/TRSPY_2022_319_a10/

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