Whitney’s extension problem for $C^m$

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 $\mathbb{R}^n$.

Authors

Charles Fefferman

Department of Mathematics
Princeton University
Princeton, NJ 08544
United States