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Reference.org
Convolution theorem
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the convolution theorem states that under suitable conditions the <a href="/facts/Fourier_transform/XXhKJtc8">Fourier transform</a> of a <a href="/facts/Convolution/PVPrdz9J">convolution</a> of two functions (or <a href="/facts/Signal/41YqUJ8c">signals</a>) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., <a href="/facts/Time_domain/1w6mP2MU">time domain</a>) equals point-wise multiplication in the other domain (e.g., <a href="/facts/Frequency_domain/pyTVrUSq">frequency domain</a>). Other versions of the convolution theorem are applicable to various <a href="/facts/List_of_Fourier-related_transforms/omM5lS1k">Fourier-related transforms</a>. </p>