Holomorphic extension from the sphere to the ball
Complex Variables
2012-08-30 v1
Abstract
Real analytic functions on the boundary of the sphere which have separate holomorphic extension along the complex lines through a boundary point have holomorphic extension to the ball. This was proved in a previous preprint by an argument of CR geometry. We give here an elementary proof based on the expansion in holomorphic and antiholomorphic powers.
Cite
@article{arxiv.0911.2560,
title = {Holomorphic extension from the sphere to the ball},
author = {L. Baracco},
journal= {arXiv preprint arXiv:0911.2560},
year = {2012}
}