The Bernstein-Walsh-Siciak Theorem for analytic hypersurfaces
Complex Variables
2019-01-03 v5 Metric Geometry
Abstract
As a first step towards a general set-theoretic counterpart of the remarkable Bernstein-Walsh-Siciak Theorem concerning the rapidity of polynomial approximation of a holomorphic function on polynomially convex compact sets in , we prove a version of this theorem for analytic hypersurfaces.
Cite
@article{arxiv.1804.11215,
title = {The Bernstein-Walsh-Siciak Theorem for analytic hypersurfaces},
author = {Anna Denkowska and Maciej P. Denkowski},
journal= {arXiv preprint arXiv:1804.11215},
year = {2019}
}
Comments
In this third version we slightly reorganized the paper, adding a new lemma explaining one of the estimates. This is the first part of a larger paper on the subject (in preparation)