Global holomorphic approximations of Cauchy-Riemann functions

The talk will be about global holomorphic approximations of Cauchy- Riemann (CR) functions defined on CR submanifolds in C n . Cauchy-Riemann manifolds are dierentiable submanifolds in complex manifolds that satisfy so- me constant rank condition. CR functions, defined on CR manifolds, satisfy the so-called tangential CR equations. Some short history of the approximation problem will be given. This is a common work with Al Boggess (Texas A&M University).