Luzin's problem on Fourier convergence and homeomorphisms
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Publication:6384439
DOI10.1134/S008154382205011XarXiv2112.00078MaRDI QIDQ6384439
Gady Kozma, Alexander Olevskii
Publication date: 30 November 2021
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.
Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
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