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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 1, Pages 1–12
DOI: https://doi.org/10.1070/IM1967v001n01ABEH000543 (Mi im2525) 		 
This article is cited in 27 scientific papers (total in 28 papers)

Boundary properties of arbitrary functions

E. P. Dolzhenko
English version PDF (536 kB) Citations (28) Russian version article
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DOI: https://doi.org/10.1070/IM1967v001n01ABEH000543
Abstract: We study the dependence between various sets of limiting boundary values of an arbitrary function $f$ of $z$. In particular we show that the Plesner theorem on angular boundary values of analytic functions generalizes in a natural way to arbitrary functions.
Received: 31.03.1965
Bibliographic databases:
UDC: 517.5
MSC: 30G25, 30E25
Language: English
Original paper language: Russian
Citation: E. P. Dolzhenko, “Boundary properties of arbitrary functions”, Math. USSR-Izv., 1:1 (1967), 1–12
Citation in format AMSBIB
\Bibitem{Dol67}
\by E.~P.~Dolzhenko
\paper Boundary properties of arbitrary functions
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 1
\pages 1--12
\mathnet{http://mi.mathnet.ru/eng/im2525}
\crossref{https://doi.org/10.1070/IM1967v001n01ABEH000543}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=0217297}
\zmath{https://zbmath.org/?q=an:0177.10604|0181.08102}
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    • This publication is cited in the following 28 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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