FourierCosTransform

FourierCosTransform[expr,t,ω]
gives the symbolic Fourier cosine transform of expr.

FourierCosTransform[expr,{t1,t2,},{ω1,ω2,}]
gives the multidimensional Fourier cosine transform of expr.

Details and OptionsDetails and Options

  • The Fourier cosine transform of a function is by default defined to be .
  • Other definitions are used in some scientific and technical fields.
  • Different choices of definitions can be specified using the option FourierParameters.
  • With the setting TemplateBox[{FourierParameters, paclet:ref/FourierParameters}, RefLink, BaseStyle -> InlineFormula]->{a,b} the Fourier cosine transform computed by FourierCosTransform is .
  • Assumptions and other options to Integrate can also be given in FourierCosTransform.
Introduced in 1999
(4.0)