Separate real analiticity and CR extendibility

L. Baracco, G. Zampieri

In $\C^2=\R^2+i\R^2$ with coordinates $z=(z_1,z_2),z=x+iy$, we consider a function $f$ continuous on a domain $\Omega$ of ${\mathbb{R}}^2$ separately real analytic in $x_1$ and CR extendible to…