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Type: Journal article
Title: Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls
Author: Larusson, F.
Sigurdsson, R.
Citation: Mathematische Annalen, 2009; 345(1):159-174
Publisher: Springer-Verlag
Issue Date: 2009
ISSN: 0025-5831
Statement of
Finnur Lárusson and Ragnar Sigurdsson
Abstract: 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.
DOI: 10.1007/s00208-009-0345-5
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