2023 Homeomorphisms and Fourier Expansion
Gady Kozma, Alexander M. Olevskiĭ
Author Affiliations +
Real Anal. Exchange 48(2): 237-250 (2023). DOI: 10.14321/realanalexch.48.2.1680708522

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.

Citation

Download Citation

Gady Kozma. Alexander M. Olevskiĭ. "Homeomorphisms and Fourier Expansion." Real Anal. Exchange 48 (2) 237 - 250, 2023. https://doi.org/10.14321/realanalexch.48.2.1680708522

Information

Published: 2023
First available in Project Euclid: 6 October 2023

Digital Object Identifier: 10.14321/realanalexch.48.2.1680708522

Subjects:
Primary: 42A20
Secondary: 42A61

Keywords: Luzin's conjecture , random homeomorphisms

Rights: Copyright © 2023 Michigan State University Press

JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.48 • No. 2 • 2023
Back to Top