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InverseFourierTransform

InverseFourierTransform[expr, , t]
gives the symbolic inverse Fourier transform of expr.
InverseFourierTransform[expr, {1, 2, ...}, {t1, t2, ...}]
gives the multidimensional inverse Fourier transform of expr.
  • The inverse Fourier transform of a function F(omega) is by default defined as .
  • 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).
  • InverseFourierTransform[expr, , t] yields an expression depending on the continuous variable t that represents the symbolic inverse Fourier transform of expr with respect to the continuous variable . InverseFourier[list] takes a finite list of numbers as input, and yields as output a list representing the discrete inverse Fourier transform of the input.
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