Rudin's Theorem and Projective Hulls

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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2006-11
Main Author: Wermer, John
Format: Article
Language:English
Subjects:
Analytic functions
Hulls
Maximum principle
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422