On the multivariate transfinite diameter

Bloom, Thomas; Calvi, Jean-Paul

Annales Polonici Mathematici, Tome 72 (1999), p. 285-305 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1999-01-01

Zbl 0954.32020

EUDML-ID : urn:eudml:doc:262636

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     title = {On the multivariate transfinite diameter},
     journal = {Annales Polonici Mathematici},
     volume = {72},
     year = {1999},
     pages = {285-305},
     zbl = {0954.32020},
     language = {en},
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Bloom, Thomas; Calvi, Jean-Paul. On the multivariate transfinite diameter. Annales Polonici Mathematici, Tome 72 (1999) pp. 285-305. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z3p285bwm/

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