Geodesic
The Siciak–Zahariuta extremal function as the envelope of disc functionals
Finnur Lárusson1 ; Ragnar Sigurdsson2
1 Department of Mathematics University of Western Ontario London, Ontario N6A 5B7, Canada
2 Science Institute University of Iceland Dunhaga 3, IS-107 Reykjavík, Iceland
Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 177-192

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We establish disc formulas for the Siciak–Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case.
DOI : 10.4064/ap86-2-8
Keywords: establish disc formulas siciak zahariuta extremal function arbitrary subset complex affine space function known pluricomplex green function logarithmic growth logarithmic pole infinity extend lemperts formula function convex connected

Finnur Lárusson 1 ; Ragnar Sigurdsson 2

1 Department of Mathematics University of Western Ontario London, Ontario N6A 5B7, Canada
2 Science Institute University of Iceland Dunhaga 3, IS-107 Reykjavík, Iceland 
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Finnur Lárusson; Ragnar Sigurdsson. The Siciak–Zahariuta extremal function
 as the envelope of disc functionals. Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 177-192. doi: 10.4064/ap86-2-8

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