On the structure of the Bochner–Martinelli residue currents
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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.
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- 1.L. A. Aizenberg and A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis (Am. Math. Soc., Providence, RI, 1983), Transl. Math. Monogr. 58.Google Scholar