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Computing the pluricomplex Green function with two poles
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2003 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 12, no 3, 375-384 p.Article in journal (Refereed) Published
Abstract [en]

We look at numerical computations of the pluricomplex Green function $g$ with two poles of equal weight for the bidisk. The results we obtain strongly suggest that Coman's conjecture holds in this setting, that is that $g$ equals the Lempert function. We also prove this in a special case. Furthermore, we show that Coman's conjecture fails in the case of two poles of different weight in the unit ball of $C2$.

Place, publisher, year, edition, pages
2003. Vol. 12, no 3, 375-384 p.
Keyword [en]
pluricomplex Green functions, interval analysis
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-3808ISI: 000189227300011Local ID: 4546OAI: oai:DiVA.org:miun-3808DiVA: diva2:28840
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-05-29Bibliographically approved

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CiteExportLink to record
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