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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 3, Pages 625–664
DOI: https://doi.org/10.1070/IM1977v011n03ABEH001739 (Mi im1856) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Denjoy–Khinchin-integrable functions and their conjugates

T. P. Lukashenko
English version PDF (1205 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1977v011n03ABEH001739
Abstract: In this paper $2\pi$-periodic functions $\Phi(x)$ and $\Psi(x)$ are constructed so that they are both Denjoy–Khinchin integrable, are not equivalent to zero, and have conjugates $\overline\Phi$ and $\overline\Psi$ satisfying $\overline\Phi(x)=0$ almost everywhere and $\overline\Psi(x)=1$ almost everywhere.
Bibliography: 12 titles.
Received: 12.02.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 3, Pages 663–702
Bibliographic databases:
UDC: 517.5
MSC: 42A40, 26A39
Language: English
Original paper language: Russian
Citation: T. P. Lukashenko, “Denjoy–Khinchin-integrable functions and their conjugates”, Izv. Akad. Nauk SSSR Ser. Mat., 41:3 (1977), 663–702; Math. USSR-Izv., 11:3 (1977), 625–664
Citation in format AMSBIB
\Bibitem{Luk77}
\by T.~P.~Lukashenko
\paper Denjoy--Khinchin-integrable functions and their conjugates
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 3
\pages 663--702
\mathnet{http://mi.mathnet.ru/im1856}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=447955}
\zmath{https://zbmath.org/?q=an:0359.42008|0382.42001}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 3
\pages 625--664
\crossref{https://doi.org/10.1070/IM1977v011n03ABEH001739}
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  • https://www.mathnet.ru/eng/im/v41/i3/p663
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:434
    Russian version PDF:97
    English version PDF:23
    References:83
    First page:3
     
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