Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls

Details Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls

2008-08-25

arxiv.org/abs/0808.3304v1

Mathematics

Complex Variables

Scientific paper

We prove two disc formulas for the Siciak-Zahariuta extremal function of an
arbitrary open subset of complex affine space. We use these formulas to
characterize the polynomial hull of an arbitrary compact subset of complex
affine space in terms of analytic discs. Similar results in previous work of
ours required the subsets to be connected.

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