Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Snorrason, Bergur"'
Autor:
Snorrason, Bergur
A famous result of Siciak is how the Siciak-Zakharyuta functions, sometimes called global extremal functions or pluricomplex Green functions with a pole at infinity, of two sets relate to the Siciak-Zakharyuta function of their cartesian product. In
Externí odkaz:
http://arxiv.org/abs/2404.18728
We generalize the Bernstein-Walsh-Siciak theorem on polynomial approximation in $\mathbb{C}^n$ to the case where the polynomial ring $\mathcal{P}(\mathbb{C}^n)$ is replaced by a subring $\mathcal{P}^S(\mathbb{C}^n)$ consisting of all polynomials with
Externí odkaz:
http://arxiv.org/abs/2306.02486
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