Orthogonal testing families and holomorphic extension from the sphere to the ball

Luca Baracco, Martino Fassina

Let ${\mathbb{B}}^2$ denote the open unit ball in ${\mathbb{C}}^2$, and let $p\in {\mathbb{C}}^2\setminus \overline{{\mathbb{B}}^2}$. We prove that if $f$ is an analytic function on the sph…