Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (3)
- Authors
- Kytmanov, Alexander M.; Myslivets, Simona G.
- Contact information
- Kytmanov, Alexander M.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;; Myslivets, Simona G.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- holomorphic extension; Poisson kernel; complex lines
- 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 prove the existence of holomorphic extension of such functions in the ball B
- Pages
- 291–302
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/19702
Journal of Siberian Federal University. Mathematics & Physics / Holomorphic Extension of Continuous Functions Along Finite Families of Complex Lines in a Ball
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