The Brenner–Hochster–Kollár and Whitney problems for vector-valued functions and jets

Abstract

In this paper, we give analytic methods for finding $C^m({\mathbb{R}}^n)$ and $C^{m,1}({\mathbb{R}}^n)$ solutions of a finite system of linear equations. Along the way, we also solve a generalized Whitney problem for vector-valued functions and jets.