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Fourier Transform--Heaviside Step Function


TheFourier transform of theHeaviside step functionH(x) is given by

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

wheredelta(k) is thedelta function.


See also

Fourier Transform,HeavisideStep Function

Explore with Wolfram|Alpha

Cite this as:

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

Subject classifications

Created, developed and nurtured by Eric Weisstein at Wolfram Research

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