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Mathematics of the USSR-Sbornik, 1975, Volume 26, Issue 4, Pages 449–457
DOI: https://doi.org/10.1070/SM1975v026n04ABEH002490 (Mi sm3804) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the representation of regular functions by Dirichlet series in a closed disk

Yu. I. Mel'nik
English version PDF (440 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/SM1975v026n04ABEH002490
Abstract: In this paper it is shown that every function regular in a disk, whose second derivative satisfies a Lipschitz condition of order $\frac12+\alpha$ ($\alpha>0$) on the boundary of the disk, can be expanded as a Dirichlet series which is absolutely and uniformly convergent in the closed disk.
Bibliography: 7 titles.
Received: 24.10.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1975, Volume 97(139), Number 4(8), Pages 493–502
Bibliographic databases:
UDC: 517.53
MSC: Primary 30A16; Secondary 30A66
Language: English
Original paper language: Russian
Citation: Yu. I. Mel'nik, “On the representation of regular functions by Dirichlet series in a closed disk”, Mat. Sb. (N.S.), 97(139):4(8) (1975), 493–502; Math. USSR-Sb., 26:4 (1975), 449–457
Citation in format AMSBIB
\Bibitem{Mel75}
\by Yu.~I.~Mel'nik
\paper On the representation of regular functions by Dirichlet series in a~closed disk
\jour Mat. Sb. (N.S.)
\yr 1975
\vol 97(139)
\issue 4(8)
\pages 493--502
\mathnet{http://mi.mathnet.ru/sm3804}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=387547}
\zmath{https://zbmath.org/?q=an:0315.30010}
\transl
\jour Math. USSR-Sb.
\yr 1975
\vol 26
\issue 4
\pages 449--457
\crossref{https://doi.org/10.1070/SM1975v026n04ABEH002490}
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  • https://www.mathnet.ru/eng/sm/v139/i4/p493
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:410
    Russian version PDF:93
    English version PDF:18
    References:72
     
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