# Symbols:Real Analysis/Convolution Integral

## Convolution Integral

$\map f t * \map g t$

Let $f$ and $g$ be real functions which are integrable.

The convolution integral of $f$ and $g$ is defined as:

$\ds \map f t * \map g t := \int_{-\infty}^\infty \map f u \map g {t - u} \rd u$

The $\LaTeX$ code for $\map f t * \map g t$ is \map f t * \map g t .