Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball
Complex Variables
2011-01-04 v2
Abstract
We give positive answer to a conjecture by Agranovsky. A continuous function on the sphere which has separate holomorphic extension along the set of complex lines passing through three non aligned interior points, is the trace of a holomorphic function in the ball.
Keywords
Cite
@article{arxiv.1003.4705,
title = {Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball},
author = {L. Baracco},
journal= {arXiv preprint arXiv:1003.4705},
year = {2011}
}
Comments
6 pages