Geodesic
The homogeneous transfinite diameter of a compact subset of $ℂ^N$
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 191-205.

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

Let K be a compact subset of $ℂ^N$. A sequence of nonnegative numbers defined by means of extremal points of K with respect to homogeneous polynomials is proved to be convergent. Its limit is called the homogeneous transfinite diameter of K. A few properties of this diameter are given and its value for some compact subsets of $ℂ^N$ is computed.
DOI : 10.4064/ap-55-1-191-205

Mieczysław Jędrzejowski 1

1 
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Mieczysław Jędrzejowski. The homogeneous transfinite diameter of a compact subset of $ℂ^N$. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 191-205. doi : 10.4064/ap-55-1-191-205. http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-191-205/

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