Abstract
A classical result of Alice Roth characterizes those functions on the unit circle that can arise from taking radial limits of entire functions. This paper describes recent progress on the characterization of radial limit functions of harmonic functions defined either in the unit ball or the whole of space. Some related open problems are posed.
Information
Published: 1 January 2006
First available in Project Euclid: 16 December 2018
zbMATH: 1120.31002
MathSciNet: MR2277821
Digital Object Identifier: 10.2969/aspm/04410043
Subjects:
Primary:
31B05
Rights: Copyright © 2006 Mathematical Society of Japan