Convolve

Convolve[f, g, x, y] gives the convolution of expressions f and g with respect to x.

Examples

Convolve two functions:

Convolve[Exp[-x^2], Exp[-x^2], x, y]
(* Sqrt[Pi/2] E^(-y^2/2) *)

Box convolution:

Convolve[UnitBox[x], UnitBox[x], x, y]
(* UnitTriangle[y] *)

Please visit the official Wolfram Language Reference for more details.