Geodesic
Some classes of sets sufficient for holomorphic continuation of integrable functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 506-512

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In the present work we consider integrable functions defined on a boundary of a bounded domain $D$ in ${{\mathbb{C}}^{n}}$, $n>1$, and possessing a generalized Morera boundary property. We show that such functions possess a holomorphic continuation into the domain $D$ for some sufficient sets $\Gamma$ of complex lines.
Keywords: holomorphic continuation, Morera boundary condition, Bochner–Martinelli kernel. 
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     author = {Bakhodir A. Shoimkhulov and Baymurat J. Kutlimuratov},
     title = {Some classes of sets sufficient for holomorphic continuation of integrable functions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a8/}
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Bakhodir A. Shoimkhulov; Baymurat J. Kutlimuratov. Some classes of sets sufficient for holomorphic continuation of integrable functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 506-512. http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a8/