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Mathematica > Mathematics and Algorithms > Calculus > Integral Transforms >

Built-in Mathematica Symbol

InverseFourierSinTransform

, t]
gives the symbolic inverse Fourier sine transform of expr.

₁,

₂, ...}, {t₁, t₂, ...}]
gives the multidimensional inverse Fourier sine transform of expr.

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

With the setting FourierParameters->{a, b} the inverse Fourier transform computed by InverseFourierSinTransform is .

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 -I:

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