Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Characterization of polynomials by L2-estimates

Benedikt Steinar Magnússon, Álfheiður Edda Sigurðardóttir, Ragnar Sigurðsson +1

The main result of this paper is that an entire function $f$ that is in $L^2({\mathbb{C}}^n,\psi )$ with respect to the weight $\psi (z)=2m{H}_S(z)+\gamma \log (1+|z{|}^2)$ is a polynomial with exponent…