English

An extension result of CR Functions by a general Schwarz reflection principle

Complex Variables 2014-04-21 v1

Abstract

It is known that a real analytic CR function f on a real analytic, generic submanifold M in C^N can be holomorphically extended. A stronger result on a finite type, real analytic, generic submanifold M is found in which we assume f a continuous CR function with real analytic imaginary part Im(f). The idea is contained in a general Schwarz Reflection Principle in one complex variable.

Keywords

Cite

@article{arxiv.1404.4782,
  title  = {An extension result of CR Functions by a general Schwarz reflection principle},
  author = {Chun Yin Hui},
  journal= {arXiv preprint arXiv:1404.4782},
  year   = {2014}
}