Integral Transforms
The Wolfram Language applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed-form result that can be found, together with full support for symbolic generalized functions.
Laplace Transforms
LaplaceTransform ▪ InverseLaplaceTransform
BilateralLaplaceTransform ▪ InverseBilateralLaplaceTransform
Fourier Transforms »
FourierTransform ▪ InverseFourierTransform
FourierSinTransform ▪ InverseFourierSinTransform
FourierCosTransform ▪ InverseFourierCosTransform
FourierCoefficient ▪ FourierSinCoefficient ▪ FourierCosCoefficient
FourierSeries ▪ FourierSinSeries ▪ FourierCosSeries ▪ FourierTrigSeries
Mellin Transforms
MellinTransform ▪ InverseMellinTransform
Hankel Transforms
HankelTransform ▪ InverseHankelTransform
Hilbert Transforms
HilbertTransform ▪ InverseHilbertTransform
Radon Transforms
RadonTransform ▪ InverseRadonTransform
Wavelet Transforms »
ContinuousWaveletTransform ▪ InverseContinuousWaveletTransform ▪ ...
Integral Convolutions
Convolve ▪ MellinConvolve ▪ UnilateralConvolve
Transform Plots
BodePlot ▪ NyquistPlot ▪ NicholsPlot ▪ SingularValuePlot
Summation Transforms »
Fourier ▪ ZTransform ▪ FourierSequenceTransform ▪ GeneratingFunction ▪ ...
Related Functions
DiracDelta ▪ DiracComb ▪ HeavisideTheta ▪ HeavisidePi ▪ HeavisideLambda
Demonstrations related to Integral Transforms