Geodesic
Some families of complex lines of minimal dimension which are sufficient for holomorphic continuation of integrable functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 97-105

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In this paper we consider continuous integrable functions given on the boundary of a bounded simply connected domain $D$ of $\mathbb C^n$, $n>1$, and having one-dimensional property of holomorphic extension along the families of complex lines.
Keywords: holomorphic continuation, integrable functions, Bochner–Martinelli integral. 
Bairambay P. Otemuratov. Some families of complex lines of minimal dimension which are sufficient for holomorphic continuation of integrable functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 97-105. http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a10/
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