Homeomorphisms and Fourier Expansion

Gady Kozma; Alexander M. Olevskiı

doi:https://doi.org/10.14321/realanalexch.48.2.1680708522

Homeomorphisms and Fourier Expansion

Gady Kozma, Alexander M. Olevskiı

Weizmann Institute of Science, Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	237-250
Number of pages	14
Journal	Real Analysis Exchange
Volume	48
Issue number	2
DOIs	https://doi.org/10.14321/realanalexch.48.2.1680708522
State	Published - 2023

Keywords

Luzin’s conjecture
random homeomorphisms

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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https://doi.org/10.14321/realanalexch.48.2.1680708522

https://arxiv.org/abs/2306.17325License: Other

Cite this

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title = "Homeomorphisms and Fourier Expansion",

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DO - https://doi.org/10.14321/realanalexch.48.2.1680708522

M3 - مقالة

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VL - 48

SP - 237

EP - 250

JO - Real Analysis Exchange

JF - Real Analysis Exchange

IS - 2

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Homeomorphisms and Fourier Expansion

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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