Zobrazeno 1 - 5
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pro vyhledávání: '"Sigurðardóttir, Álfheiður Edda"'
We study approximations of holomorphic functions of several complex variables by proper subrings of the polynomials. The subrings in question consist of polynomials of several complex variables whose exponents are restricted to a prescribed convex co
Externí odkaz:
http://arxiv.org/abs/2409.12132
The classical Siciak-Zakharyuta theorem states that the Siciak-Zakharyuta function $V_{E}$ of a subset $E$ of $\mathbb C^n$, also called a pluricomplex Green function or global exremal function of $E$, equals the logarithm of the Siciak function $\Ph
Externí odkaz:
http://arxiv.org/abs/2305.08260
Autor:
Magnússon, Benedikt Steinar, Sigurðardóttir, Álfheiður Edda, Sigurðsson, Ragnar, Snorrason, Bergur
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 $\psi(z)=2mH_S(z)+\gamma\log(1+|z|^2)$ is a polynomial with exponents in $m\widehat S_\Gamma$. Here $H_S$ is the logarithmic su
Externí odkaz:
http://arxiv.org/abs/2305.06847
Autor:
Magnússon, Benedikt Steinar, Sigurðardóttir, Álfheiður Edda, Sigurðsson, Ragnar, Snorrason, Bergur
This paper is a survey of plurisubharmonic theory where the usual polynomial ring is replaced by a polynomial ring $\mathcal P^S(\mathbb C^n)$ where the $m$-th degree polynomials have exponents restricted to $mS$, where $S\subseteq \mathbb R^n_+$ is
Externí odkaz:
http://arxiv.org/abs/2305.04779
Publikováno v:
Complex Analysis & its Synergies; 6/5/2024, Vol. 10 Issue 3, p1-12, 12p
