arXiv subjects

F. Piazzon

Publications and source records attributed to F. Piazzon.

2 recordsLinked to original sources

arXiv2020

Correction/Addendum to "The Extremal Function for the Complex Ball for Generalized Notions of Degree and Multivariate Polynomial Approximation"

We correct the calculation of the Monge-Ampère measure of a certain extremal plurisubharmonic function for the complex Euclidean ball in C^2.

math.CV↗

arXiv2018

The Extremal Function for the Complex Ball for Generalized Notions of Degree and Multivariate Polynomial Approximation

We discuss the Siciak-Zaharjuta extremal function of pluripotential theory for the unit ball in C^d for spaces of polynomials with the notion of degree determined by a convex body P. We then use it to analyze the approximation properties of such polynomial spaces, and how these may differ depending on the function f to be approximated.

math.CV↗