Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Kytmanov, Alexander M.; Myslivets, Simona G.
- Contact information
- Kytmanov, Alexander M. : Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-7394-1480; Myslivets, Simona G. : Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- Bochner–Martinelli integral; bounded domain; boundary behavior
- Abstract
In this article, we consider some integral representation of the potential type (Cauchy– Fantappi`e) 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
- Pages
- 293–299
- EDN
- ISZQFR
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/155081
Journal of Siberian Federal University. Mathematics & Physics / On One Integral Representation of the Potential Type
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