Geodesic
Homogeneous extremal function for a ball in ℝ²
Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 141-150.

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

We point out relations between Siciak's homogeneous extremal function $Ψ_B$ and the Cauchy-Poisson transform in case $B$ is a ball in ℝ². In particular, we find effective formulas for $Ψ_B$ for an important class of balls. These formulas imply that, in general, $Ψ_B$ is not a norm in ℂ².
DOI : 10.4064/ap-71-2-141-150
Keywords: homogeneous extremal function, Cauchy-Poisson transform

Mirosław Baran 1

1 
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Mirosław Baran. Homogeneous extremal function for a ball in ℝ². Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 141-150. doi : 10.4064/ap-71-2-141-150. http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-141-150/

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