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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 7–19
DOI: https://doi.org/10.1134/S0371968517030013 (Mi tm3820) 		 
On the Structure of the Bochner–Martinelli Residue Currents

I. A. Antipova

Siberian Federal University, Svobodnyi pr. 79, Krasnoyarsk, 660041 Russia
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DOI: https://doi.org/10.1134/S0371968517030013
Abstract: We study residue currents of the Bochner–Martinelli type using their relationship to the Mellin transforms of residue integrals. We present a structure formula for residue currents associated with dimension-reducing monomial mappings: they can be represented as sums of products of simple residue currents, principal value currents, and hypergeometric functions.
Keywords: residue current, principal value current, Bochner–Martinelli kernel, Leray residue form, Mellin transform.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
Russian Foundation for Basic Research 13-01-12417-офи-м2
14-01-00544-а
The research was supported by a grant of the Government of the Russian Federation for state support of scientific research conducted under the auspices of leading scientists in the Siberian Federal University, project no. 14.Y26.31.0006. The research was also supported by the Russian Foundation for Basic Research, project nos. 13-01-12417-ofi-m2 and 14-01-00544-a.
Received: February 24, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 1–12
DOI: https://doi.org/10.1134/S0081543817060013
Bibliographic databases:
Document Type: Article
UDC: 517.55
MSC: 32A27
Language: Russian
Citation: I. A. Antipova, “On the Structure of the Bochner–Martinelli Residue Currents”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 7–19; Proc. Steklov Inst. Math., 298 (2017), 1–12
Citation in format AMSBIB
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\by I.~A.~Antipova
\paper On the Structure of the Bochner--Martinelli Residue Currents
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 7--19
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968517030013}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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