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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 2, Pages 393–420
DOI: https://doi.org/10.1070/IM1971v005n02ABEH001053 (Mi im1979) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On functions conjugate to Denjoy–Khinchin integrable functions

T. P. Lukashenko
English version PDF (837 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM1971v005n02ABEH001053
Abstract: In this paper an example is constructed of a function $f(x)$ that is integrable in the sense of Denjoy–Khinchin for which the conjugate function $\bar f(x)$ is integrable in the same sense and has a positive zeroth Fourier coefficient.
Received: 09.09.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1971, Volume 35, Issue 2, Pages 381–407
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A40; Secondary 26A39
Language: English
Original paper language: Russian
Citation: T. P. Lukashenko, “On functions conjugate to Denjoy–Khinchin integrable functions”, Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971), 381–407; Math. USSR-Izv., 5:2 (1971), 393–420
Citation in format AMSBIB
\Bibitem{Luk71}
\by T.~P.~Lukashenko
\paper On functions conjugate to Denjoy--Khinchin integrable functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 2
\pages 381--407
\mathnet{http://mi.mathnet.ru/im1979}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=283146}
\zmath{https://zbmath.org/?q=an:0212.41802}
\transl
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 2
\pages 393--420
\crossref{https://doi.org/10.1070/IM1971v005n02ABEH001053}
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    • This publication is cited in the following 4 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:410
    Russian version PDF:106
    English version PDF:23
    References:88
    First page:3
     
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