I know that the convolution of two functions [itex]f(x)[/itex] and [itex]g(x)[/itex] is given by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

(f * g)(y) = \int_{\mathbb R} f(x)g(y-x) dx.

[/tex]

But what if I'm trying to convolve a function [itex]f(x)[/itex] with a function [itex]g(x + az)[/itex], where [itex]a[/itex] is some constant? Is it just

[tex]

(f*g)(y) = \int_{\mathbb R} f(x)g(y - x + az) dx.

[/tex]

If so, why? I can't seem to find a definition of the convolution that makes this obvious.

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# Question about convolutions

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