Holomorphic extension of decomposable distributions from a CR submanifold of $\mathbb C^L$
Complex Variables
2007-05-23 v1
Abstract
Given a non generic smooth CR submanifold of , where is generic in and is a CR map from into . We prove, using only elementary tools, that if is decomposable at then any decomposable CR distribution on at extends holomorphically to a complex transversal wedge. This gives an elementary proof of the well known equivalent for totally real non generic submanifolds, i.e if is a smooth totally real submanifold of any continuous function on admits a holomorphic extension to a complex transverse wedge
Keywords
Cite
@article{arxiv.math/0510184,
title = {Holomorphic extension of decomposable distributions from a CR submanifold of $\mathbb C^L$},
author = {Nicolas Eisen},
journal= {arXiv preprint arXiv:math/0510184},
year = {2007}
}
Comments
To appear in Michigan Math. Journal