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

Complex Variables 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0208016,
  title  = {The pluripolar hull of the graph of a holomorphic function with polar singularities},
  author = {Armen Edigarian and Jan Wiegerinck},
  journal= {arXiv preprint arXiv:math/0208016},
  year   = {2007}
}

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15 pages