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Analytic continuation of residue currents TeX Export

(11 Sep 2007)

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abelian_integrals complex_analysis mellin_transform pseudoabelian_integrals

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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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