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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 1, Pages 97–105
(Mi jsfu224)
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This article is cited in 1 scientific paper (total in 1 paper)
Some families of complex lines of minimal dimension which are sufficient for holomorphic continuation of integrable functions
Bairambay P. Otemuratov Kara-Kalpak State University, Nukus, Uzbekistan
Abstract:
In this paper we consider continuous integrable functions given on the boundary of a bounded simply connected domain $D$ of $\mathbb C^n$, $n>1$, and having one-dimensional property of holomorphic extension along the families of complex lines.
Keywords:
holomorphic continuation, integrable functions, Bochner–Martinelli integral.
Received: 18.05.2011 Received in revised form: 25.09.2011 Accepted: 10.10.2011
Citation:
Bairambay P. Otemuratov, “Some families of complex lines of minimal dimension which are sufficient for holomorphic continuation of integrable functions”, J. Sib. Fed. Univ. Math. Phys., 5:1 (2012), 97–105
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https://www.mathnet.ru/eng/jsfu224 https://www.mathnet.ru/eng/jsfu/v5/i1/p97
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Abstract page: | 186 | Full-text PDF : | 60 | References: | 33 |
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