This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# FourierTransform

 FourierTransform[expr, t, ]gives the symbolic Fourier transform of expr. FourierTransform[expr, {t1, t2, ...}, {1, 2, ...}]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.
• Some common choices for {a, b} are {0, 1} (default; modern physics), {1, -1} (pure mathematics; systems engineering), {-1, 1} (classical physics), {0, -2Pi} (signal processing).
• The following options can be given:
 Assumptions \$Assumptions assumptions to make about parameters FourierParameters {0,1} parameters to define the Fourier transform GenerateConditions False whether to generate answers that involve conditions on parameters
• 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.
 Scope   (4)
 Options   (3)
 Applications   (1)
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