Testing holomorphy on curves
Complex Variables
2011-01-24 v2
Abstract
For a domain we construct a continuous foliation of into one real dimensional curves such that any function which can be extended holomorphically into some neighborhood of each curve in the foliation will be holomorphic on .
Cite
@article{arxiv.1012.4329,
title = {Testing holomorphy on curves},
author = {Buma L. Fridman and Daowei Ma},
journal= {arXiv preprint arXiv:1012.4329},
year = {2011}
}