@KyleKanos : I saw that you put
this question on hold. This was expected, it belongs to mathematics. Just for you to know, the function of whose Fourier transform he asked is akin to the Breit-Wigner formula. It's not the same, but they are related - I won't get into details here. I am just asking, will he see my solution? It makes sense to ask about Fourier transforms of such functions.