Luzin's problem on Fourier convergence and homeomorphisms

2021/11/30 by Kozma, Gady, Olevskii, Alexander · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2112.00078

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.

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