On some regularity condition

Abstract

Let $\mathbb{K}$ be an uncountable field of characteristic zero and let $f$ be a function from ${\mathbb{K}}^n$ to $\mathbb{K}$. We show that if the restriction of $f$ to every affine plane $L\subset {\mathbb{K}}^n$ is regular, then $f$ is a regular function.

References in corpus (1)

• Curve-rational functions