Fourier Transform Pairs
This section gives a list of Fourier Transform pairs. That is, we present several functions and there corresponding Fourier Transforms.
The derivation can be found by selecting the image or the text below. For convenience, we use both common definitions of the Fourier Transform,
using the (standard for this website) variable f, and the also used "angular frequency" variable
.

















k > 0 
k > 0 






k > 0 
k > 0 























Note that the following two inversion formulas are used for the definition of the inverse Fourier Transform:
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