On the multivariate transfinite diameter
Volume 72 / 1999
Annales Polonici Mathematici 72 (1999), 285-305 DOI: 10.4064/ap-72-3-285-305
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.