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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 1, Pages 189–196
DOI: https://doi.org/10.1070/IM1982v019n01ABEH001407
(Mi im1590)
 

This article is cited in 1 scientific paper (total in 1 paper)

Envelopes of holomorphy of some tube sets in $\mathbf C^2$ and the monodromy theorem

S. M. Ivashkovich
References:
Abstract: The author proves that functions holomorphic in a neighborhood of the set $D+i\partial E$, where $D$ and $E$ are domains in $\mathbf R^2$, extend holomorphically to a neighborhood of the set $D_1+iE$, where $D_1$ is a subdomain of $D$. As a corollary he shows that functions analytic along $D+i\gamma$, where $\gamma$ is a curve in $\mathbf R^2$, are single-valued in a neighborhood of $D+i\gamma$ under certain restrictions to the size of $D$ and $\gamma$.
Bibliography: 4 titles.
Received: 22.02.1980
Revised: 19.02.1981
Bibliographic databases:
UDC: 517.5
MSC: 32D10, 32A07
Language: English
Original paper language: Russian
Citation: S. M. Ivashkovich, “Envelopes of holomorphy of some tube sets in $\mathbf C^2$ and the monodromy theorem”, Math. USSR-Izv., 19:1 (1982), 189–196
Citation in format AMSBIB
\Bibitem{Iva81}
\by S.~M.~Ivashkovich
\paper Envelopes of holomorphy of some tube sets in $\mathbf C^2$ and the monodromy theorem
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 1
\pages 189--196
\mathnet{http://mi.mathnet.ru//eng/im1590}
\crossref{https://doi.org/10.1070/IM1982v019n01ABEH001407}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=631443}
\zmath{https://zbmath.org/?q=an:0513.32020|0487.32010}
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  • https://doi.org/10.1070/IM1982v019n01ABEH001407
  • https://www.mathnet.ru/eng/im/v45/i4/p896
  • 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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