Geodesic
On some sets sufficient for holomorphic continuation of functions with generalized boundary Morera property
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 3, pp. 483-496

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This article considers continuous functions defined on the boundary of a bounded domain $D$ in $\mathbb C^n$, $n>1$, and having a generalized boundary Morera property. The question of the existence of a holomorphic continuation of such functions into the domain $D$ for some sufficient sets $\Gamma$ of complex lines intersecting the germ of the generating manifold lying inside the domain is investigated.
Keywords: holomorphic continuation, a multidimensional boundary condition of Morera. 
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     author = {A. M. Kytmanov and S. G. Myslivets},
     title = {On some sets sufficient for holomorphic continuation of functions with generalized boundary {Morera} property},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {483--496},
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a6/}
}
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A. M. Kytmanov; S. G. Myslivets. On some sets sufficient for holomorphic continuation of functions with generalized boundary Morera property. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 3, pp. 483-496. http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a6/