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An analog of the Hartogs theorem in a ball of C n
Author(s) -
Kytmanov Alexander M.,
Myslivets Simona G.
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300049
Subject(s) - holomorphic function , mathematics , ball (mathematics) , extension (predicate logic) , pure mathematics , mathematical analysis , computer science , programming language
In this paper we consider continuous functions given on the boundary of a ball B in C n , n > 1 , and having a one‐dimensional property of holomorphic extension along the families of complex lines, passing through a finite number of points of B . We study the problem of existence of holomorphic extension of such functions in the ball B .
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