Convolution

Convolution is a mathematical operation where two functions produce a third which is representative of the moving average between the original functions.

(f\star g)(x) = \int_{-\infty}^{\infty} f(x-y)g(y) \,dy.

It is especially important in Fourier Theory, because the transform of convolutions two functions is equal to the product of the transforms of the functions.

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This page was last modified 17:46, March 13, 2006 by Kyle McGivney.
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