Homeomorphisms and Fourier expansion
arXiv:2306.17325
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.
An extended abstract of a talk given by A. Olevskii in the 44th Summer Symposium in Real Analysis, Paris, 2022. 10 pages