Twistor theory and the harmonic hull
Differential Geometry
2011-02-07 v2 Classical Analysis and ODEs
Complex Variables
Abstract
We use twistor theory to identify the harmonic hull of an arbitrary connected open subset U of R^{2m} for m at least 2. It is the natural domain of analytic continuation in C^{2m} for harmonic functions on U.
Keywords
Cite
@article{arxiv.1012.2620,
title = {Twistor theory and the harmonic hull},
author = {Michael Eastwood and Feng Xu},
journal= {arXiv preprint arXiv:1012.2620},
year = {2011}
}
Comments
17 pages. Several misprints are corrected and a dedication to Joseph Wolf is added