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. 
@article{TRSPY_2022_319_a10,
     author = {Gady Kozma and Alexander Olevskiǐ},
     title = {Luzin's {Problem} on {Fourier} {Convergence} and {Homeomorphisms}},
     journal = {Informatics and Automation},
     pages = {134--181},
     publisher = {mathdoc},
     volume = {319},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2022_319_a10/}
}
TY  - JOUR
AU  - Gady Kozma
AU  - Alexander Olevskiǐ
TI  - Luzin's Problem on Fourier Convergence and Homeomorphisms
JO  - Informatics and Automation
PY  - 2022
SP  - 134
EP  - 181
VL  - 319
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2022_319_a10/
LA  - ru
ID  - TRSPY_2022_319_a10
ER  - 
%0 Journal Article
%A Gady Kozma
%A Alexander Olevskiǐ
%T Luzin's Problem on Fourier Convergence and Homeomorphisms
%J Informatics and Automation
%D 2022
%P 134-181
%V 319
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2022_319_a10/
%G ru
%F TRSPY_2022_319_a10
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/