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Integral representation with weights II, division and interpolation

Mats Andersson
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Abstract

Let $f$ be a $r\times m$-matrix of holomorphic functions that is generically surjective. We provide explicit integral representation of holomorphic $ψ$ such that $ϕ=fψ$, provided that $ϕ$ is holomorphic and annihilates a certain residue current with support on the set where $f$ is not surjective. We also consider formulas for interpolation. As applications we obtain generalizations of various results previously known for the case $r=1$.

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Mats Andersson. 2005-11-09. Integral representation with weights II, division and interpolation. https://arxiv.org/abs/math/0511238

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