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Multidimensional boundary analog of the Hartogs theorem in circular domains
Alexander M. Kytmanov, Simona G. Myslivets Institute of Mathematics and Computer Science,
Siberian Federal University,
Svobodny, 79, Krasnoyarsk, 660041,
Russia
Abstract:
This paper presents some results related to the holomorphic extension of functions, defined on the boundary of a domain $ D\subset\mathbb C^n $, $n>1$, into this domain. We study a functions with the one-dimensional holomorphic extension property along the complex lines.
Keywords:
functions with the one-dimensional holomorphic extension property, circular domain.
Received: 06.06.2017 Received in revised form: 12.07.2017 Accepted: 17.10.2017
Citation:
Alexander M. Kytmanov, Simona G. Myslivets, “Multidimensional boundary analog of the Hartogs theorem in circular domains”, J. Sib. Fed. Univ. Math. Phys., 11:1 (2018), 79–90
Linking options:
https://www.mathnet.ru/eng/jsfu596 https://www.mathnet.ru/eng/jsfu/v11/i1/p79
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Abstract page: | 230 | Full-text PDF : | 72 | References: | 40 |
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