2019
DOI: 10.1002/mana.201800172
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On functions with one‐dimensional holomorphic extension property in circular domains

Abstract: In this paper we consider continuous functions given on the boundary of a circular bounded domain D in Cn, n>1, and having the one‐dimensional holomorphic extension property along family of complex lines, passing through a finite number of points of D. We study the problem of existence of holomorphic extension of such functions into D.

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