Abstract
Let $f$ be a real-valued function on a compact set in $\mathbb{R}^n$, and let $m$ be a positive integer. We show how to decide whether $f$ extends to a $\mathbb{C}^m$ function on $\mathbb{R}^n$.
Let $f$ be a real-valued function on a compact set in $\mathbb{R}^n$, and let $m$ be a positive integer. We show how to decide whether $f$ extends to a $\mathbb{C}^m$ function on $\mathbb{R}^n$.