F. Piazzon

activity

20132025

most citedOptimal Polynomial Admissible Meshes on Some Classes of Compact Subsets of

R^{d}

1 citations · 1 across the 9 of their papers we have counts for

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math.CV2020

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

T. Bloom, L. Bos, N. Levenberg +2

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

math.CV2018

The extremal plurisubharmonic function of the torus

Federico Piazzon

We compute the extremal plurisubharmonic function of the real torus viewed as a compact subset of its natural algebraic complexification.

math.CV2018

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

T. Bloom, L. Bos, N. Levenberg +2

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…

math.CV2015

A weighted extremal function and equilibrium measure

Len Bos, Norman Levenberg, Sione Ma`u +1

Let $K = R^{n} \subset C^{n}$ and $Q (x) := \frac{1}{2} lo g (1 + x^{2})$ where $x = (x_{1}, ..., x_{n})$ and $x^{2} = x_{1}^{2} + \dots + x_{n}^{2}$ . Utilizing extremal functions for convex bodies in ${…

math.CV2015

Some results on the rational Bernstein Markov property in the complex plane

Federico Piazzon

The Bernstein Markov Property, shortly BMP, is an asymptotic quan- titative assumption on the growth of uniform norms of polynomials or rational functions on a compact set with res…