Regular distribution
= Regular distribution
{title2=$\langle u_f,\varphi\rangle=\int f\varphi$}
A <locally integrable function> $f$ defines a <distribution> by $\langle u_f,\varphi\rangle=\int f\varphi$. The pairing is bilinear if distributions are taken complex-linear. This identifies ordinary functions with a subset of <distributions> without claiming that every distribution is a function.