Generalized Functions

Mathematica'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

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