Extension of positive definite functions

Palle Jorgensen, Robert Niedzialomski

Let $\Omega \subset {\mathbb{R}}^n$ be an open, connected subset of ${\mathbb{R}}^n$, and let $F:\Omega -\Omega \to \mathbb{C}$, where $\Omega -\Omega =\{x-y:x,y\in \Omega \}$, be a continuous positive definite f…