Luzin's problem on Fourier convergence and homeomorphisms
Classical Analysis and ODEs
2021-12-02 v1 Probability
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.
Cite
@article{arxiv.2112.00078,
title = {Luzin's problem on Fourier convergence and homeomorphisms},
author = {Gady Kozma and Alexander Olevskii},
journal= {arXiv preprint arXiv:2112.00078},
year = {2021}
}
Comments
55 pages, 2 figures