Homeomorphisms and Fourier expansion
Classical Analysis and ODEs
2023-07-03 v1
Abstract
We survey our recent result that for every continuous function there is an absolutely continuous homeomorphism such that the composition has a uniformly converging Fourier expansion. We mention the history of the problem, orginally stated by Luzin, and some details of the proof.
Cite
@article{arxiv.2306.17325,
title = {Homeomorphisms and Fourier expansion},
author = {Gady Kozma and Alexander Olevskii},
journal= {arXiv preprint arXiv:2306.17325},
year = {2023}
}
Comments
An extended abstract of a talk given by A. Olevskii in the 44th Summer Symposium in Real Analysis, Paris, 2022. 10 pages