Geodesic
On one integral representation of the potential type
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 3, pp. 293-299

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In this article, we consider some integral representation of the potential type (Cauchy–Fantappiè) for a smooth function defined on the boundary of a bounded multidimensional domain. Derivatives of this integral representation are found and their boundary behavior is studied. An analogue of the Bochner–Martinelli formula for smooth functions is proved.
Keywords: Bochner–Martinelli integral, bounded domain, boundary behavior. 
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Alexander M. Kytmanov; Simona G. Myslivets. On one integral representation of the potential type. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 3, pp. 293-299. http://geodesic.mathdoc.fr/item/JSFU_2025_18_3_a0/