Residue currents of the Bochner-Martinelli type.

Mikael Passare; August Tsikh; Alain Yger

Publicacions Matemàtiques (2000)

  • Volume: 44, Issue: 1, page 85-117
  • ISSN: 0214-1493

Abstract

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Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.

How to cite

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Passare, Mikael, Tsikh, August, and Yger, Alain. "Residue currents of the Bochner-Martinelli type.." Publicacions Matemàtiques 44.1 (2000): 85-117. <http://eudml.org/doc/41384>.

@article{Passare2000,
abstract = {Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.},
author = {Passare, Mikael, Tsikh, August, Yger, Alain},
journal = {Publicacions Matemàtiques},
keywords = {Integral de Bochner; Funciones holomorfas de varias variables; Funciones de variable compleja; residue current; integral representation},
language = {eng},
number = {1},
pages = {85-117},
title = {Residue currents of the Bochner-Martinelli type.},
url = {http://eudml.org/doc/41384},
volume = {44},
year = {2000},
}

TY - JOUR
AU - Passare, Mikael
AU - Tsikh, August
AU - Yger, Alain
TI - Residue currents of the Bochner-Martinelli type.
JO - Publicacions Matemàtiques
PY - 2000
VL - 44
IS - 1
SP - 85
EP - 117
AB - Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.
LA - eng
KW - Integral de Bochner; Funciones holomorfas de varias variables; Funciones de variable compleja; residue current; integral representation
UR - http://eudml.org/doc/41384
ER -

Citations in EuDML Documents

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  1. Alekos Vidras, Alain Yger, On some generalizations of Jacobi's residue formula
  2. Mats Andersson, Uniqueness and factorization of Coleff-Herrera currents
  3. Mats Andersson, Elizabeth Wulcan, Residue currents with prescribed annihilator ideals
  4. Mattias Jonsson, Elizabeth Wulcan, On Bochner-Martinelli residue currents and their annihilator ideals
  5. Mats Andersson, The membership problem for polynomial ideals in terms of residue currents
  6. Mats Andersson, Håkan Samuelsson, Jacob Sznajdman, On the Briançon-Skoda theorem on a singular variety

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