Translation of a distribution
= Translation of a distribution
{title2=$\tau_hu$}
If $\tau_hf(x)=f(x-h)$ for functions, its extension to distributions is defined by
$$
\langle\tau_hu,\varphi\rangle=\langle u,\varphi(\mathord\cdot+h)\rangle.
$$
= Translation of a distribution
{title2=$\tau_hu$}
If $\tau_hf(x)=f(x-h)$ for functions, its extension to distributions is defined by
$$
\langle\tau_hu,\varphi\rangle=\langle u,\varphi(\mathord\cdot+h)\rangle.
$$