Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (4)
- Authors
- Kytmanov, Alexander M.; Myslivets, Simona G.
- Contact information
- Kytmanov, Alexander M. : e-mail: ; Myslivets, Simona G. : e-mail:
- Keywords
- holomorphic continuation; Poisson integral
- Abstract
In this paper we consider continuous functions given on the boundary of a ball B of Cn, n 1 and having one-dimensional property of holomorphic extension along the families of complex lines, passing through finite number of points of B. We study the problem of existence of holomorphic continuation of such functions in a ball B.
- Pages
- 547-557
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/3108
Journal of Siberian Federal University. Mathematics & Physics / Holomorphic Continuation of Functions Along Finite Families of Complex Lines in the Ball
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