DiracDelta[x] represents the Dirac delta function \[Delta](x). DiracDelta[x_1, x_2, ...] represents the multidimensional Dirac delta function \[Delta](x_1, x_2, ...).

In many practical situations it is convenient to consider limits in which a fixed amount of something is concentrated into an infinitesimal region. Ordinary mathematical ...

HeavisideLambda[x] represents the triangle distribution \[CapitalLambda](x) which is nonzero for |x| < 1. HeavisideLambda[x_1, x_2, ...] represents the multidimensional ...

HeavisidePi[x] represents the box distribution \[CapitalPi](x), equal to 1 for |x| < 1/2 and 0 for |x| > 1/2. HeavisidePi[x_1, x_2, ...] represents the multidimensional box ...

Mathematica makes it easy to take even the most complicated derivatives involving any of its huge range of differentiable special functions.

Mathematica's symbolic character allows it to handle generalized functions or "distributions" as a direct extension of classical mathematical functions, and to represent ...

DiracComb[x] represents the Dirac comb function giving a delta function at every integer point. DiracComb[x_1, x_2, ...] represents the multidimensional Dirac comb function.

PrincipalValue is an option for Integrate that specifies whether the Cauchy principal value should be found for a definite integral.

Unitize[x] gives 0 when x is zero, and 1 when x has any other numerical value.

InverseFourierTransform[expr, \[Omega], t] gives the symbolic inverse Fourier transform of expr. InverseFourierTransform[expr, {\[Omega]_1, \[Omega]_2, \ ...}, {t_1, t_2, ...