Geodesic
On the Structure of the Bochner–Martinelli Residue Currents
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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 
I. A. Antipova. On the Structure of the Bochner–Martinelli Residue Currents. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and its applications, Tome 298 (2017), pp. 7-19. http://geodesic.mathdoc.fr/item/TM_2017_298_a0/
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