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Generalized Functions—Wolfram Language Documentation

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• Functions
  • Convolve
  • D
  • DiracComb
  • DiracDelta
  • FourierTransform
  • FunctionExpand
  • HeavisideLambda
  • HeavisidePi
  • HeavisideTheta
  • Integrate
  • LaplaceTransform
• Related Guides
  • Integral Transforms
  • Mathematical Functions
  • Fractal-Related Functions
• Tech Notes
  • Generalized Functions and Related Objects
  • Integral Transforms and Related Operations

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.

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

▪
• Generalized Functions and Related Objects
▪
• Integral Transforms and Related Operations

▪
• Integral Transforms
▪
• Mathematical Functions
▪
• Fractal-Related Functions

• Wolfram Core Areas: Mathematical Functions

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