Practical calculation
Harmonic analysis, distributions, convolution

In the course of our enumeration of the properties of Fourier transforms and series, we have given various properties that enable their practical calculation in certain cases. Here, we summarize these rules of calculation, and give the Fourier transforms, or Fourier coefficients, of a number of functions. These lists, given in tables 1 and 2 , are by no means exhaustive: there are large tomes full of such correspondence tables (see, for example, ).