So I'm just sitting in the chair being bored and I decided to review Fourier transforms. I pick what I thought would be an easy function to transform: , so I have
I have (somewhere) in my references how to do these, but I can't find it. (I really need to organize my references!) My initial impluse is to do a complex integration. Let . Then
which is a line integral on the whole line y = ik/2. I can't quite figure out a good contour for this.