Álfheiður Edda Sigurðardóttir

collaborators

3 papers

math.CV2023

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 $L^{2} (C^{n}, ψ)$ with respect to the weight $ψ (z) = 2 m H_{S} (z) + γ lo g (1 + ∣ z ∣^{2})$ is a polynomial with exponent…

math.CV2023

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- The Siciak-Zakharyuta theorem

Benedikt Steinar Magnússon, Álfheiður Edda Sigurðardóttir, Ragnar Sigurðsson

The classical Siciak-Zakharyuta theorem states that the Siciak-Zakharyuta function $V_{E}$ of a subset $E$ of $C^{n}$ , also called a pluricomplex Green function or global exr…

math.CV2023

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Fundamental results

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

This paper is a survey of plurisubharmonic theory where the usual polynomial ring is replaced by a polynomial ring $P^{S} (C^{n})$ where the $m$ -th degree polynomials h…