Polynomial hulls of graphs
type: Item
instance of: scholarly article
title: Polynomial hulls of graphs
zbMATH Open document ID: 0667.32011
published in: Pacific Journal of Mathematics
publication date: 1991-01-01T00:00:00Z
review text: We consider the polynomially convex hull of the graph of a continuous complex-valued function on the boundary of the unit ball. We show first that the hull covers the closed unit ball and then consider several of its properties. In particular, when is the hull also a graph; i.e. single sheeted? When the hull is a graph we show, in some cases, that it contains analytic structure. We also consider the graph in C of a real- valued continuous function on the boundary of a 3-cell which is contained in a real hyperplane in C and partially extend some results of Bedford and Klingenberg who studied the case of smooth functions.
Mathematics Subject Classification ID: 32E20
zbMATH DE Number: 4091856
zbMATH Keywords: polynomially convex hull
zbMATH Keywords: analytic structure
author: Herbert J. Alexander
reviewed by: A. Hulpke
MaRDI profile type: Publication
full work available at URL: pjm.1991.147.201
OpenAlex ID: W2081650502
DOI: 10.2140/PJM.1991.147.201
description: scientific article; zbMATH DE number 4091856