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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.
DiracDelta one-dimensional or multidimensional delta function
HeavisideTheta Heaviside step function, for and for
    
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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