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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{TM_2017_298_a0,
     author = {I. A. Antipova},
     title = {On the {Structure} of the {Bochner--Martinelli} {Residue} {Currents}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {7--19},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2017_298_a0/}
}
TY  - JOUR
AU  - I. A. Antipova
TI  - On the Structure of the Bochner--Martinelli Residue Currents
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2017
SP  - 7
EP  - 19
VL  - 298
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2017_298_a0/
LA  - ru
ID  - TM_2017_298_a0
ER  - 
%0 Journal Article
%A I. A. Antipova
%T On the Structure of the Bochner--Martinelli Residue Currents
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2017
%P 7-19
%V 298
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2017_298_a0/
%G ru
%F TM_2017_298_a0
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/