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. 
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     title = {Some families of complex lines of minimal dimension which are sufficient for holomorphic continuation of integrable functions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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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/