Research

My research interest are pluripotential theory and complex analysis. In particular, extremal function, disc formulas and polynomial approximation.

Papers

  • Polynomials with exponents in compact convex sets and associated weighted extremal functions – The Bernstein-Walsh-Siciak theorem. Benedikt Magnússon, Ragnar Sigurðsson & Bergur Snorrason, 2023, arXiv:2306.02486.

  • Polynomials with exponents in compact convex sets and associated weighted extremal functions – The Siciak-Zakharyuta theorem. Benedikt Magnússon, Álfheiður Edda Sigurðardóttir & Ragnar Sigurðsson, 2023, arXiv:2305:08260.

  • Polynomials with exponents in compact convex sets and associated weighted extremal functions – Characterization of polynomials by L2-estimates. Benedikt Magnússon, Álfheiður Edda Sigurðardóttir, Ragnar Sigurðsson & Bergur Snorrason, 2023, arXiv:2305:06847.

  • Polynomials with exponents in compact convex sets and associated weighted extremal functions – Fundamental results. Benedikt Magnússon, Álfheiður Edda Sigurðardóttir, Ragnar Sigurðsson & Bergur Snorrason, 2023, arXiv:2305.04779.

  • A characterization of totally real carleman sets and an application to products of stratified totally real sets. Benedikt Magnússon & Erlend Forness Wold, 2016, Mathematica Scandinavica. 118, 2, p. 285-290. doi:10.7146/math.scand.a-23690

  • Analytic discs, global extremal functions and projective hulls in projective space. Benedikt Magnússon,2014, Illinois Journal of Mathematics. 58, 2, s. 391-404 14 s. doi:10.1215/ijm/1436275490

  • Extremal ω-plurisubharmonic functions as envelopes of disc functionals: Generalization and applications to the local theory. Benedikt Magnússon, 2012, Mathematica Scandinavica. 111, 2, s. 296-319 24 s. doi:10.7146/math.scand.a-15228

  • Extremal ω-plurisubharmonic functions as envelopes of disc functionals. Benedikt Magnússon, 2011, Arkiv for Matematik. 49, 2, s. 383-399 17 s. doi:10.1007/s11512-010-0128-y

  • Disc formulas for the weighted Siciak-Zahariuta extremal function. Benedikt Magnússon & Ragnar Sigurðsson, 2007. Ann. Polon. Math. 91, no. 2-3, 241–247. doi:10.4064/ap91-2-11