Article
Ufa Mathematical Journal
Volume 4, Number 1, pp. 101-114
On some families of complex lines which are sufficient for a holomorphic extension of functions.
Kuzovatov V.I.
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The present article is based on the result related to the holomorphic extension of functions. We talk about functions with the one - dimensional holomorphic extension property along families of \\ complex lines. We consider real analytic functions given on the boundary of a bounded domain \(D\) in \(\mathbb C^n\), \(n>1\), with the one - dimensional holomorphic extension property along families of complex lines. We study the existence of holomorphic extensions of these functions to \(D\) depending on the kind of domain and location of the families of complex lines.