9 citations · 17 across the 14 of their papers we have counts for
14 papers
Siciak's homogeneous extremal functions, holomorphic extension and a generalization of Helgason's support theorem
Jöran Bergh, Ragnar Sigurdsson
We prove that a function, which is defined on a union of lines through the origin in with direction vectors in and is holomorp…
Monge-Ampère measures of plurisubharmonic exhaustions associated to the Lie norm of holomorphic maps
Ragnar Sigurdsson, Audunn Skuta Snaebjarnarson
In this paper we derive formulas for the Monge-Ampère measures of functions of the form , where is a holomorphic map on a complex manifold of dimension with…
A note on weighted homogeneous Siciak-Zaharyuta extremal functions
Barbara Drinovec Drnovsek, Ragnar Sigurdsson
We prove that for any given upper semicontinuous function on an open subset of , such that the complex cone generated by minus the origin is…
Limits of multipole pluricomplex Green functions
Jon I. Magnusson, Alexander Rashkovskii, Ragnar Sigurdsson +1
Let be a set of points in a bounded hyperconvex domain in , all tending to 0 as tends to 0. To each set we associate its vanishing ideal and the pluri…
Dirichlet Problems for Plurisubharmonic Functions on Compact Sets
Evgeny A. Poletsky, Ragnar Sigurdsson
In this paper we solve the Dirichlet problems for different classes of plurisubharmonic functions on compact sets in including continuous, pluriharmonic and maximal f…
Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls
Finnur Larusson, Ragnar Sigurdsson
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…