N. Levenberg

activity

20042024

most citedApproximation in C^N

34 citations · 123 across the 35 of their papers we have counts for

collaborators

40 papers

math.CV2024

Directional Chebyshev Constants on the Boundary

Thomas Bloom, Norman Levenberg

We prove results on existence of limits in the definition of (weighted) directional Chebyshev constants at all points of the standard simplex $Σ \subset R^{d}$ for (locally) reg…

math.CV2022

Asymptotic Approximate Fekete Arrays

T. Bloom, L. Bos, N. Levenberg

The notion of asymptotic Fekete arrays, arrays of points in a compact set $K \subset C^{d}$ which behave asymptotically like Fekete arrays, has been well-studied, albeit much mo…

math.CV2022

An extremal problem for the Bergman kernel of orthogonal polynomials

S. Charpentier, N. Levenberg, F. Wielonsky

Let $Γ \subset C$ be a curve of class $C (2, α)$ . For $z_{0}$ in the unbounded component of $C ∖ Γ$ , and for $n = 1, 2, ...$ , let $ν_{n}$ be a probability measure w…

math.CV2021★ 3 cited

Random Polynomials in Several Complex Variables

Turgay Bayraktar, Tom Bloom, Norm Levenberg

We generalize some previous results on random polynomials in several complex variables. A standard setting is to consider random polynomials $H_{n} (z) := \sum_{j = 1}^{m_{n}} a_{j} p_{j} (z)$ th…

math.CV2021

Polynomials associated to non-convex bodies

N. Levenberg, F. Wielonsky

Polynomial spaces associated to a convex body $C$ in $(R^{+})^{d}$ have been the object of recent studies. In this work, we consider polynomial spaces associated to non-convex $C…

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.