Definition:Constant Tempered Distribution
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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.