DOCUMENTATION CENTER SEARCH

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

BUILT-IN MATHEMATICA SYMBOL

FourierCosTransform

gives the symbolic Fourier cosine transform of expr.

gives the multidimensional Fourier cosine transform of expr.

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

With the setting the Fourier cosine transform computed by FourierCosTransform is .

Assumptions and other options to Integrate can also be given in FourierCosTransform.

Out[1]=

Out[1]=

Out[1]=

Elementary functions:

Special functions:

Generalized functions:

Multivariate transform:

Fourier cosine transform of BesselJ is a piecewise function:

The default setting for FourierParameters is

Use a nondefault setting for a different definition of transform:

To get the inverse, use the same FourierParameters setting:

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

Results from FourierCosTransform and FourierTransform agree for even functions:

Fourier cosine transform may be given in terms of generalized functions such as DiracDelta: