Cross theorem with singularities - pluripolar vs. analytic case

2009/07/12 by Marek Jarnicki, Jarnicki, Marek, Peter Pflug +1
Mathematics · #32D15 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32D15

paper · pdf · doi:10.48550/arxiv.0907.2015

arxiv created 2009/07/15 · arxiv updated 2011/12/01

Abstract

We prove that in the extension theorem for separately holomorphic functions on an N-fold cross with singularities the case of analytic singularities follows from the case of pluripolar singularities.

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• Cross theorems with singularities
• A Hartogs type extension theorem for generalized (N,k)-crosses with\n pluripolar singularities
• An extension theorem for separately holomorphic functions with singularities, II
• An extension theorem for separately holomorphic functions with singularities
• An extension theorem for separately holomorphic functions with pluripolar singularities