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 Izv. Akad. Nauk SSSR Ser. Mat., 1981, Volume 45, Issue 4, Pages 896–904 (Mi izv1590)

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

S. M. Ivashkovich

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.

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English version:
Mathematics of the USSR-Izvestiya, 1982, 19:1, 189–196

Bibliographic databases:

UDC: 517.5
MSC: 32D10, 32A07
Revised: 19.02.1981

Citation: S. M. Ivashkovich, “Envelopes of holomorphy of some tube sets in $\mathbf C^2$ and the monodromy theorem”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981), 896–904; 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 Izv. Akad. Nauk SSSR Ser. Mat. \yr 1981 \vol 45 \issue 4 \pages 896--904 \mathnet{http://mi.mathnet.ru/izv1590} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=631443} \zmath{https://zbmath.org/?q=an:0513.32020|0487.32010} \transl \jour Math. USSR-Izv. \yr 1982 \vol 19 \issue 1 \pages 189--196 \crossref{https://doi.org/10.1070/IM1982v019n01ABEH001407} 

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This publication is cited in the following articles:
1. Proc. Steklov Inst. Math., 279 (2012), 257–275
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