Geodesic
On the multidimensional boundary analogue of the Morera theorem
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 29-45

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We discuss functions with the one-dimensional holomorphic extension property along complex lines and curves and also boundary multidimensional variants of the Morera theorem. We show how integral representations can be applied to the study of analytic continuation of functions, in particular to multidimensional boundary analogues of the Morera theorems.
Keywords: one-dimensional holomorphic extension property, multidimensional variants of the Morera theorem. 
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     title = {On the multidimensional boundary analogue of the {Morera} theorem},
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Simona G. Myslivets. On the multidimensional boundary analogue of the Morera theorem. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 29-45. http://geodesic.mathdoc.fr/item/JSFU_2022_15_1_a4/