The Fourier transform of the Heaviside step function 
is given by
](https://mathworld.wolfram.com/images/equations/FourierTransformHeavisideStepFunction/Inline2.svg) |  |  | (1) |
 |  | ![1/2[delta(k)-i/(pik)],](https://mathworld.wolfram.com/images/equations/FourierTransformHeavisideStepFunction/Inline7.svg) | (2) |
where 
is the delta function.
Fourier Transform--Heaviside Step Function
See also
Fourier Transform, Heaviside Step FunctionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Fourier Transform--Heaviside Step Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FourierTransformHeavisideStepFunction.html