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arxiv: math/0208016 · v1 · submitted 2002-08-02 · 🧮 math.CV

The pluripolar hull of the graph of a holomorphic function with polar singularities

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keywords graphpluripolarfunctionholomorphichullpolarcompletecomplex
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We study the pluripolar hull of the graph of a holomorphic function f, defined on a domain D in the complex plane outside a polar set A of D. This leads to a theorem that describes under what conditions f is nowhere extendable over A, while the graph of f over D \ A is NOT complete pluripolar.

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