CR approximation on a nonrigid hypersurface graph in \(\mathbb{C}^n\) (Q1764369)

Let \(M\) be a smooth real hypersurface of \(\mathbb{C}^{n}\), which is globally presented as a graph. The authors prove that any \(CR\) function on \(M\) can be uniformly approximated by entire functions on \(\mathbb{C}^{n}\) on compact subsets. The above result generalizes earlier works which rely on extra conditions on the defining function for the graph.