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Mathematica > Mathematics and Algorithms > Calculus > Integral Transforms > InverseFourierSinTransform >

BUILT-IN MATHEMATICA SYMBOL

InverseFourierSinTransform

gives the symbolic inverse Fourier sine transform of expr.

gives the multidimensional inverse Fourier sine transform of expr.

Different choices of definitions can be specified using the option FourierParameters.

With the setting FourierParameters the inverse Fourier transform computed by InverseFourierSinTransform is .

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Elementary functions:

Special functions:

Generalized functions:

Multivariate transforms:

Use Assumptions to indicate the region of interest for the parameters:

The default setting for FourierParameters is

Use a non-default setting for a different definition of the transform:

Use GenerateConditions->True to get parameter conditions for when a result is valid:

For odd functions, results are identical to InverseFourierTransform except for a factor

Inverse Fourier sine transforms may require generalized functions such as DiracDelta: