218 citations
- University of CopenhagenDK12 papers
- National Center for Theoretical SciencesTW8 papers
- National Center for Theoretical Sciences, Physics Division8 papers
- Instituto de Astrofísica de AndalucíaES7 papers
- European Southern ObservatoryCL6 papers
- Aarhus UniversityDK5 papers
- Space Telescope Science InstituteUS4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Imperial College LondonGB3 papers
- National Institute of Materials PhysicsRO3 papers
- Tokyo Institute of TechnologyJP3 papers
- Université Bourgogne Franche-ComtéFR3 papers
4 papers · 1 filter
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…
Siciak-Zahariuta extremal functions and polynomial hulls
Finnur Larusson, Ragnar Sigurdsson
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 di…
Disc formulas for the weighted Siciak-Zahariuta extremal function
Benedikt Steinar Magnusson, Ragnar Sigurdsson
We prove a disc formula for the weighted Siciak-Zahariuta extremal function for an upper semicontinuous function on an open connected subset in $\C^n$. This funct…
The Siciak-Zahariuta extremal function as the envelope of disc functionals
Finnur Larusson, Ragnar Sigurdsson
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…