Analytic continuation of residue currents

Mathematics – Complex Variables

Scientific paper

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Scientific paper

10.1007/s11512-008-0086-9

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 $\C^p$.

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