1 citations · 1 across the 6 of their papers we have counts for
6 papers
A Rudin-Carleson theorem for multiply connected domains with interpolation
Benedikt Steinar Magnússon, Bergur Snorrason
Using an annular version of the F. and M. Riesz theorem, we prove a generalization of the Rudin-Carleson theorem for finitely connected bounded domains. That is, for a continuous f…
Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Approximations and regularity
Bergur Snorrason
We study various regularization operators on plurisubharmonic functions that preserve Lelong classes with growth given by certain compact convex sets. The purpose is to show that t…
Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property
Bergur Snorrason
A famous result of Siciak is how the Siciak-Zakharyuta functions, sometimes called global extremal functions or pluricomplex Green functions with a pole at infinity, of two sets re…
Polynomials with exponents in compact convex sets and associated weighted extremal functions -- The Bernstein-Walsh-Siciak theorem
Benedikt Steinar Magnússon, Ragnar Sigurðsson, Bergur Snorrason
We generalize the Bernstein-Walsh-Siciak theorem on polynomial approximation in to the case where the polynomial ring is replaced by a su…
Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Characterization of polynomials by L2-estimates
Benedikt Steinar Magnússon, Álfheiður Edda Sigurðardóttir, Ragnar Sigurðsson +1
The main result of this paper is that an entire function that is in with respect to the weight is a polynomial with exponent…
Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Fundamental results
Benedikt Steinar Magnússon, Álfheiður Edda Sigurðardóttir, Ragnar Sigurðsson +1
This paper is a survey of plurisubharmonic theory where the usual polynomial ring is replaced by a polynomial ring where the -th degree polynomials h…