Rudin's Theorem and Projective Hulls
Complex Variables
2007-05-23 v1
Abstract
Walter Rudin, in 1966, characterized analytic functions in the unit disk in terms of the maximum principle relative to the boundary. We conjecture a generalization of this result when the disk is replaced by the punctured disk, and we prove a special case of this conjecture, making use of the notion of projective hull in P^n introduced by R. Harvey and B. Lawson.
Cite
@article{arxiv.math/0611060,
title = {Rudin's Theorem and Projective Hulls},
author = {John Wermer},
journal= {arXiv preprint arXiv:math/0611060},
year = {2007}
}