Fourier transform of a lorentzian function

1. Aug 17, 2012

zak8000

hi

I know the Fourier transform of a lorentzian function is a lorentzian but i was wondering if the fourier transform of the second derivation of a lorentzian function is also a second derivative of a lorentzian function

Thanks

2. Aug 17, 2012

cpt_carrot

The Fourier transform of a Lorentzian isn't a Lorentzian (its a decaying oscillation)

The Fourier transform of a Gaussian is a Gaussian, which is I guess what you mean?

Do you know any theorems about the Fourier transform of a derivative to help answer your other question?