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BUILT-IN MATHEMATICA SYMBOL
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.
Details 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
are 
(default; modern physics), 
(pure mathematics; systems engineering), 
(classical physics), and {0, -2Pi} (signal processing). - Assumptions and other options to Integrate can also be given in InverseFourierTransform. »
- 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. - In TraditionalForm, InverseFourierTransform is output using
.
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