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Russia Krasnoyarsk
Year
2023
Volume
33
Issue
3
Pages
483-496
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Section Mathematics
Title On some sets sufficient for holomorphic continuation of functions with generalized boundary Morera property
Author(-s) Kytmanov A.M.a, Myslivets S.G.a
Affiliations Siberian Federal Universitya
Abstract This article considers continuous functions defined on the boundary of a bounded domain $D$ in $\mathbb C^n$, $n>1$, and having a generalized boundary Morera property. The question of the existence of a holomorphic continuation of such functions into the domain $D$ for some sufficient sets $\Gamma$ of complex lines intersecting the germ of the generating manifold lying inside the domain is investigated.
Keywords holomorphic continuation, a multidimensional boundary condition of Morera
UDC 517.55
MSC 32A25, 32A40
DOI 10.35634/vm230307
Received 10 January 2023
Language Russian
Citation Kytmanov A.M., Myslivets S.G. On some sets sufficient for holomorphic continuation of functions with generalized boundary Morera property, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, vol. 33, issue 3, pp. 483-496.
References
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