Weighted inner product
= Weighted inner product
{title2=$\langle f,g\rangle_w$}
For a positive weight $w$, the weighted inner product of <functions> is $\langle f,g\rangle_w=\int\overline f g w$. It is the usual <inner product> in the <L2 space> for the measure $w(x)dx$. A <Sturm-Liouville eigenfunction expansion> uses this weight to make its <eigenfunctions> <orthogonal>.