On the generalization of Forelli's theorem
Complex Variables
2014-02-27 v1
Abstract
The purpose of this paper is to present a solution to perhaps the final remaining case in the line of study concerning the generalization of Forelli's theorem on the complex analyticity of the functions that are: (1) smooth at a point, and (2) holomorphic along the complex integral curves generated by a contracting holomorphic vector field with an isolated zero at the same point.
Cite
@article{arxiv.1402.6390,
title = {On the generalization of Forelli's theorem},
author = {Jae-Cheon Joo and Kang-Tae Kim and Gerd Schmalz},
journal= {arXiv preprint arXiv:1402.6390},
year = {2014}
}
Comments
11 pages