This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.

 FourierTransform FourierTransform[expr, t, ] gives the symbolic Fourier transform of expr. FourierTransform[expr, , , ... , , , ... ] gives the multidimensional Fourier transform of expr. The Fourier transform of a function is by default defined to be . Other definitions are used in some scientific and technical fields. Different choices of definitions can be specified using the option FourierParameters. With the setting FourierParameters->a, b the Fourier transform computed by FourierTransform is . Some common choices for a, b are {0, 1} (default; modern physics), {1, -1} (pure mathematics; systems engineering), {-1, 1} (classical physics), {0, -2 Pi} (signal processing). Assumptions and other options to Integrate can also be given in FourierTransform. FourierTransform[expr, t, ] yields an expression depending on the continuous variable that represents the symbolic Fourier transform of expr with respect to the continuous variable t. Fourier[list] takes a finite list of numbers as input, and yields as output a list representing the discrete Fourier transform of the input. In TraditionalForm, FourierTransform is output using . See Section 1.5.12 and Section 3.5.11. See also: FourierSinTransform, FourierCosTransform, Fourier, InverseFourierTransform, LaplaceTransform, Integrate. New in Version 4.