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Mathematics of the USSR-Sbornik, 1987, Volume 57, Issue 2, Pages 449–454
DOI: https://doi.org/10.1070/SM1987v057n02ABEH003079 (Mi sm1838) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On asymptotically monogenic bounded functions

D. S. Telyakovskii
English version PDF (339 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM1987v057n02ABEH003079
Abstract: The following theorem is proved.
Theorem. Suppose that the function $f(z)$ is bounded in a region $D$ and is asymptotically monogenic at all points of $D\setminus e,$ where the set $e$ is not more than countable. Then $f(z)$ can be redefined on $e$ in such a way that it becomes holomorphic on $D$.
This theorem solves positively a problem of Men'shov on holomorphicity of asymptotically monogenic bounded functions.
Bibliography: 2 titles.
Received: 30.05.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 129(171), Number 3, Pages 434–439
Bibliographic databases:
UDC: 517.5
MSC: Primary 30A05; Secondary 32D20
Language: English
Original paper language: Russian
Citation: D. S. Telyakovskii, “On asymptotically monogenic bounded functions”, Mat. Sb. (N.S.), 129(171):3 (1986), 434–439; Math. USSR-Sb., 57:2 (1987), 449–454
Citation in format AMSBIB
\Bibitem{Tel86}
\by D.~S.~Telyakovskii
\paper On asymptotically monogenic bounded functions
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 129(171)
\issue 3
\pages 434--439
\mathnet{http://mi.mathnet.ru/sm1838}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=837136}
\zmath{https://zbmath.org/?q=an:0626.30001}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 57
\issue 2
\pages 449--454
\crossref{https://doi.org/10.1070/SM1987v057n02ABEH003079}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:37
     
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