On the Whitney distortion extension problem for $C^m({\mathbb{R}}^n)$ and $C^{\infty }({\mathbb{R}}^n)$ and its applications to interpolation and alignment of data in ${\mathbb{R}}^n$

S. B Damelin, C. Fefferman

In this announcement we consider the following problem. Let $n,m\ge 1$, $U\subset {\mathbb{R}}^n$ open. In this paper we provide a sharp solution to the following Whitney distortion e…