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Fourier Transform--Heaviside Step Function


The Fourier transform of the Heaviside step function H(x) is given by

F_x[H(x)](k)=int_(-infty)^inftye^(-2piikx)H(x)dx
(1)
=1/2[delta(k)-i/(pik)],
(2)

where delta(k) is the delta function.


See also

Fourier Transform, Heaviside Step Function

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Cite this as:

Weisstein, Eric W. "Fourier Transform--Heaviside Step Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FourierTransformHeavisideStepFunction.html

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