Geodesic
On the multivariate transfinite diameter
Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 285-305.

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

We prove several new results on the multivariate transfinite diameter and its connection with pluripotential theory: a formula for the transfinite diameter of a general product set, a comparison theorem and a new expression involving Robin's functions. We also study the transfinite diameter of the pre-image under certain proper polynomial mappings.
DOI : 10.4064/ap-72-3-285-305
Keywords: Robin's functions, extremal plurisubharmonic functions, minimal polynomials, multivariate transfinite diameter, Chebyshev polynomials

Thomas Bloom 1 ; Jean-Paul Calvi 1

1 
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Thomas Bloom; Jean-Paul Calvi. On the multivariate transfinite diameter. Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 285-305. doi : 10.4064/ap-72-3-285-305. http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-285-305/

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