gives the symbolic inverse Fourier transform of expr.

gives the multidimensional inverse Fourier transform of expr.

Details and OptionsDetails and Options

  • The inverse Fourier transform of a function 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.
  • With the setting FourierParameters->{a,b} the inverse Fourier transform computed by InverseFourierTransform is .
  • Some common choices for {a,b} are {0,1} (default; modern physics), {1,-1} (pure mathematics; systems engineering), {-1,1} (classical physics), and {0,-2Pi} (signal processing).
  • Assumptions and other options to Integrate can also be given in InverseFourierTransform. »
  • InverseFourierTransform[expr,ω,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 ω. 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.
  • In TraditionalForm, InverseFourierTransform is output using .
Introduced in 1999