Geodesic
Luzin's Problem on Fourier Convergence and Homeomorphisms
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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. 
@article{TM_2022_319_a10,
     author = {Gady Kozma and Alexander Olevskiǐ},
     title = {Luzin's {Problem} on {Fourier} {Convergence} and {Homeomorphisms}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {134--181},
     publisher = {mathdoc},
     volume = {319},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2022_319_a10/}
}
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Gady Kozma; Alexander Olevskiǐ. Luzin's Problem on Fourier Convergence and Homeomorphisms. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Approximation Theory, Functional Analysis, and Applications, Tome 319 (2022), pp. 134-181. http://geodesic.mathdoc.fr/item/TM_2022_319_a10/