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Fourier   (Built-in Mathematica Symbol)
Fourier[list] finds the discrete Fourier transform of a list of complex numbers.
Fourier Analysis   (Mathematica Guide)
Mathematica provides broad coverage of both numeric and symbolic Fourier analysis, supporting all standard forms of Fourier transforms on data, functions, and sequences, in ...
Discrete Fourier Transforms   (Mathematica Tutorial)
A common operation in analyzing various kinds of data is to find the discrete Fourier transform (or spectrum) of a list of values. The idea is typically to pick out ...
FourierCosTransform   (Built-in Mathematica Symbol)
FourierCosTransform[expr, t, \[Omega]] gives the symbolic Fourier cosine transform of expr. FourierCosTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...
FourierParameters   (Built-in Mathematica Symbol)
FourierParameters is an option to Fourier and related functions that specifies the conventions to use in computing Fourier transforms.
Fourier Series Package   (Fourier Series Package Guide)

FourierSinTransform   (Built-in Mathematica Symbol)
FourierSinTransform[expr, t, \[Omega]] gives the symbolic Fourier sine transform of expr. FourierSinTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...
Fourier Series Package   (Fourier Series Package Tutorial)
The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...
FourierTransform   (Built-in Mathematica Symbol)
FourierTransform[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...
InverseFourier   (Built-in Mathematica Symbol)
InverseFourier[list] finds the discrete inverse Fourier transform of a list of complex numbers.
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