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Contemporary Mathematics. Fundamental Directions, 2007, Volume 25, Pages 80–87 (Mi cmfd107)  
This article is cited in 7 scientific papers (total in 8 papers)

On Uniformly Convergent Rearrangements of Trigonometric Fourier Series

S. V. Konyagin

M. V. Lomonosov Moscow State University
Full-text PDF (142 kB) Citations (8) English version article
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Abstract: We show that if the module of continuity $\omega(f,\delta)$ of a $2\pi$-periodic function $f\in C(\mathbb T)$ is $o(1/\log\log1/\delta)$ as $\delta\to0+$ then there exists a rearrangement of the trigonometric Fourier series of $f$ converging uniformly to $f$.
English version:
Journal of Mathematical Sciences, 2008, Volume 155, Issue 1, Pages 81–88
DOI: https://doi.org/10.1007/s10958-008-9209-x
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. V. Konyagin, “On Uniformly Convergent Rearrangements of Trigonometric Fourier Series”, Theory of functions, CMFD, 25, PFUR, M., 2007, 80–87; Journal of Mathematical Sciences, 155:1 (2008), 81–88
Citation in format AMSBIB
\Bibitem{Kon07}
\by S.~V.~Konyagin
\paper On Uniformly Convergent Rearrangements of Trigonometric Fourier Series
\inbook Theory of functions
\serial CMFD
\yr 2007
\vol 25
\pages 80--87
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd107}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2342539}
\zmath{https://zbmath.org/?q=an:1154.42003}
\elib{https://elibrary.ru/item.asp?id=13574375}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 155
\issue 1
\pages 81--88
\crossref{https://doi.org/10.1007/s10958-008-9209-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55749106929}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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