Generalized Functions

The Wolfram Language's symbolic character allows it to handle generalized functions or "distributions" as a direct extension of classical mathematical functions, and to represent integrals and integral transforms that cannot be expressed in terms of continuous functions.

ReferenceReference

DiracDelta one-dimensional or multidimensional delta function

HeavisideTheta Heaviside step function, for and for

DiracComb  ▪  HeavisidePi  ▪  HeavisideLambda

Integrate, D integrals and derivatives of generalized functions

LaplaceTransform, FourierTransform integral transforms

Convolve convolve generalized functions

FunctionExpand expand out generalized functions