The Fourier transform of a Lorentzian function is given by
=e^(-2piikx_0-Gammapi|k|).](/images/equations/FourierTransformLorentzianFunction/NumberedEquation1.svg) |
This transform arises in the computation of the characteristic function of the Cauchy distribution.
Fourier Transform--Lorentzian Function
See also
Fourier Transform, Lorentzian FunctionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Fourier Transform--Lorentzian Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FourierTransformLorentzianFunction.html