Let $X$ be a complex manifold and $f\colon X\to \C^p$ a holomorphic mapping defining a complete intersection. We prove that the iterated Mellin transform of the residue integral associated to $f$ has an analytic continuation to a neighborhood of the origin in $\C^p$.
The residue current of a codimension three complete intersection
One parameter regularizations of products of residue currents
Regularizations of products of residue and principal value currents
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