Geodesic
On the Structure of the Bochner--Martinelli Residue Currents
Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 7-19

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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, Bochner–Martinelli kernel, Mellin transform.
Mots-clés : principal value current, Leray residue form 
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     author = {I. A. Antipova},
     title = {On the {Structure} of the {Bochner--Martinelli} {Residue} {Currents}},
     journal = {Informatics and Automation},
     pages = {7--19},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a0/}
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I. A. Antipova. On the Structure of the Bochner--Martinelli Residue Currents. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 7-19. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a0/