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Fourier Transform--Lorentzian Function


 F_x[1/pi(1/2Gamma)/((x-x_0)^2+(1/2Gamma)^2)](k)=e^(-2piikx_0-Gammapi|k|).

This transform arises in the computation of the characteristic function of the Cauchy distribution.


See also

Fourier Transform, Lorentzian Function

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Cite this as:

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

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