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

摘要

It is known that a real analytic CR function f on a real analytic, genericsubmanifold M in C~N can be holomorphically extended. A stronger resulton a finite type, real analytic, generic submanifold M is found in which weassume f a continuous CR function with real analytic imaginary partIm(f). The idea is contained in a general Schwarz reflection principle in onecomplex variable.