Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Sigurdsson, Ragnar"'
Autor:
Bergh, Jöran, Sigurdsson, Ragnar
We prove that a function, which is defined on a union of lines $\mathbb{C} E$ through the origin in $\mathbb{C}^n$ with direction vectors in $E\subset \mathbb{C}^n$ and is holomorphic of fixed finite order and finite type along each line, extends to
Externí odkaz:
http://arxiv.org/abs/1902.01134
In this paper we derive formulas for the Monge-Amp\`ere measures of functions of the form $\log|\Phi|_c$, where $\Phi$ is a holomorphic map on a complex manifold $X$ of dimension $n$ with values in $\mathbb{C}^{n+1}\setminus\{0\}$ and $|\cdot|_c$ is
Externí odkaz:
http://arxiv.org/abs/1810.01326
Publikováno v:
Indag. Math. 27 (2016) 94-99
We prove that for any given upper semicontinuous function $\varphi$ on an open subset $E$ of $\mathbb C^n\setminus\{0\}$, such that the complex cone generated by $E$ minus the origin is connected, the homogeneous Siciak-Zaharyuta function with the we
Externí odkaz:
http://arxiv.org/abs/1501.07736
Publikováno v:
International Journal of Mathematics Vol. 23, No. 6 (2012)
Let $S_\epsilon$ be a set of $N$ points in a bounded hyperconvex domain in $C^n$, all tending to 0 as$\epsilon$ tends to 0. To each set $S_\epsilon$ we associate its vanishing ideal $I_\epsilon$ and the pluricomplex Green function $G_\epsilon$ with p
Externí odkaz:
http://arxiv.org/abs/1103.2296
In this paper we solve the Dirichlet problems for different classes of plurisubharmonic functions on compact sets in $\mathbb C^n$ including continuous, pluriharmonic and maximal functions.
Externí odkaz:
http://arxiv.org/abs/1005.0248
Autor:
Larusson, Finnur, Sigurdsson, Ragnar
We prove two disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space. We use these formulas to characterize the polynomial hull of an arbitrary compact subset of complex affine space in terms of an
Externí odkaz:
http://arxiv.org/abs/0808.3304
Autor:
Larusson, Finnur, Sigurdsson, Ragnar
We use our disc formula for the Siciak-Zahariuta extremal function to characterize the polynomial hull of a connected compact subset of complex affine space in terms of analytic discs.
Externí odkaz:
http://arxiv.org/abs/math/0701230
We prove a disc formula for the weighted Siciak-Zahariuta extremal function $V_{X,q}$ for an upper semicontinuous function $q$ on an open connected subset $X$ in $\C^n$. This function is also known as the weighted Green function with logaritmic pole
Externí odkaz:
http://arxiv.org/abs/math/0612851
Autor:
Edigarian, Armen, Sigurdsson, Ragnar
We study a disc formula for the relative extremal function for Borel sets in complex manifolds.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/math/0607313
Autor:
Larusson, Finnur, Sigurdsson, Ragnar
We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space, generalizing Lempert's formula for the convex case. This function is also known as the pluricomplex Green function with logarit
Externí odkaz:
http://arxiv.org/abs/math/0504471