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Reference.org
List of Fourier-related transforms
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<p> This is a list of <a href="/facts/Linear_transformation/Q1PBKNVV">linear transformations</a> of <a href="/facts/Function_(mathematics)/CdReEKCh">functions</a> related to <a href="/facts/Fourier_analysis/sUA8JP6q">Fourier analysis</a>. Such transformations <a href="/facts/Map_(mathematics)/FABF1l2f">map</a> a function to a set of <a href="/facts/Coefficient/5Hwq2Wuq">coefficients</a> of <a href="/facts/Basis_function/Bt7jqjY2">basis functions</a>, where the basis functions are <a href="/facts/Trigonometric_function/czej7ur0">sinusoidal</a> and are therefore strongly localized in the <a href="/facts/Frequency_spectrum/q3Rfs7b0">frequency spectrum</a>. (These transforms are generally designed to be invertible.) In the case of the Fourier transform, each basis function corresponds to a single <a href="/facts/Frequency/QUSbPaW8">frequency</a> component. </p>