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#Cross-Correlation Proof


`\begin{multline}h(t)= \int_{-\infty}^{\infty} f^*(\tau-t) g(\tau) d\tau
\\= \int_{-\infty}^{\infty} \left[\frac{1}{2\pi} \int_{-\infty}^{\infty} F^*(\omega)\, e^{-i\omega (\tau-t)} d\omega\right]\left[\frac{1}{2\pi} \int_{-\infty}^{\infty} G(\nu)\, e^{i\nu\tau} d\nu\right] d\tau \\
=
\frac{1}{(2\pi)^2}\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}\