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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 2, Pages 326–339 (Mi smj2200)  

This article is cited in 12 scientific papers (total in 12 papers)

Minimal dimension families of complex lines sufficient for holomorphic extension of functions

A. M. Kytmanov, S. G. Myslivets, V. I. Kuzovatov

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
References:
Abstract: We consider continuous functions given on the boundary of a bounded domain $D$ in $\mathbb C^n$, $n>1$, with the one-dimensional holomorphic extension property along families of complex lines. We study the existence of holomorphic extensions of these functions to $D$ depending on the dimension and location of the families of complex lines.
Keywords: holomorphic extension, Bochner–Martinelli integral, harmonic function.
Received: 03.06.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 2, Pages 256–266
DOI: https://doi.org/10.1134/S0037446611020091
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: A. M. Kytmanov, S. G. Myslivets, V. I. Kuzovatov, “Minimal dimension families of complex lines sufficient for holomorphic extension of functions”, Sibirsk. Mat. Zh., 52:2 (2011), 326–339; Siberian Math. J., 52:2 (2011), 256–266
Citation in format AMSBIB
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\by A.~M.~Kytmanov, S.~G.~Myslivets, V.~I.~Kuzovatov
\paper Minimal dimension families of complex lines sufficient for holomorphic extension of functions
\jour Sibirsk. Mat. Zh.
\yr 2011
\vol 52
\issue 2
\pages 326--339
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\transl
\jour Siberian Math. J.
\yr 2011
\vol 52
\issue 2
\pages 256--266
\crossref{https://doi.org/10.1134/S0037446611020091}
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  • https://www.mathnet.ru/eng/smj/v52/i2/p326
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    References:52
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