Is there a generally accepted name for the space of distributions over smooth compactly supported test functions $\mathcal{D}(\mathbb{R}^n)$?
I know that distributions over the Schwartz space $\mathcal{S}(\mathbb{R}^n)$ are called "tempered distributions," and distributions over $C^\infty(\mathbb{R}^n)$ test functions are called "distributions with compact support."
I can't seem to find a name for the space $\mathcal{D}'(\mathbb{R}^n)$ mentioned anywhere.