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A Characterization of totally real Carleman continua and an application to products of stratified totally real sets
Benedikt Steinar Magnusson, Erlend Fornaess Wold
We give a characterization of stratified totally real sets that admit Carleman approximation by entire functions. As an application we show that the product of two stratified total…
Analytic Discs, Global Extremal Functions and Projective Hulls in Projective Space
Benedikt Steinar Magnusson
Using a recent result of Lárusson and Poletsky regarding plurisubharmonic subextensions we prove a disc formula for the quasiplurisubharmonic global extremal function for domains i…
Extremal omega-plurisubharmonic functions as envelopes of disc functionals - Generalization and applications to the local theory
Benedikt Steinar Magnusson
We generalize the Poletsky disc envelope formula for the function $\sup \{u \in \PSH(X,ω) ; u\leq ϕ\}$ on any complex manifold to the case where the real (1,1)-current $ω=ω_1-ω…
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…