Definition:Constant Tempered Distribution

Definition
Let $\map \DD {\R^n}$ be the Schwartz space.

Let $T : \map \DD {\R^n} \to \C$ be a tempered distribution.

Let $c \in \C$ be a complex number.

Suppose, $T$ is generated by $c$:


 * $T = T_c$

Then $T$ is called the constant tempered distribution.