Geodesic
On holomorphic continuation of integrable functions along finite families of complex lines in an $n$-circular domain
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 91-96

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This paper contains some results related to holomorphic extension of integrable functions defined on the boundary of $D\subset\mathbb C^n$, $n>1$ into this domain. We shall consider integrable functions with the property of holomorphic extension along complex lines. In the complex plane $\mathbb C$ the results about functions with such property are trivial. Therefore, our results are essentially multidimensional.
Keywords: integrable functions, holomorphic extension, Szegö kernel, complex lines.
Mots-clés : Poisson kernel 
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     author = {Bayram P. Otemuratov},
     title = {On holomorphic continuation of integrable functions along finite families of complex lines in an $n$-circular domain},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {91--96},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a12/}
}
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Bayram P. Otemuratov. On holomorphic continuation of integrable functions along finite families of complex lines in an $n$-circular domain. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 91-96. http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a12/