Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls

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dc.creatorLarusson, Finnur
dc.creatorSigurdsson, Ragnar
dc.date2008-08-25
dc.date.accessioned2026-07-07T09:58:14Z
dc.date.available2026-07-07T09:58:14Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0808.3304
dc.identifierhttp://arxiv.org/abs/0808.3304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167643
dc.subjectComplex Variables
dc.subject32U35 (primary); 32E20, 32Q65, 32U05 (secondary)
dc.titleSiciak-Zahariuta extremal functions, analytic discs and polynomial hulls
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