Hello :) I would like to ask you if the function $f(t)$ using this equivalence $f(w) = \frac{w_0}{(a+ jw)^2+ w_0^2}$ , can get a fourier transform ?
$f(t)$= $e^{-9t}$ $Sin(2t) H(t)$
and in that case could be this the result? $f(w) = \frac{2}{(9+ jw)^2+ 4}$ ?
Apologies if it's a silly question, but I just started Fourier transform :) Thank you in advance for your help.