On covariant functions and distributions under the action of a compact group

Anouar Saidi

Let $G$ be a compact subgroup of $G{L}_n(\mathbb{R})$ acting linearly on a finite dimensional vector space $E$. B. Malgrange has shown that the space ${\mathcal{C}}^{\infty }({\mathbb{R}}^n,E{)}^G$ of $\math…