Fourier transform of a lorentzian function

[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

 

[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?