I'm using the Fourier command and I'm wondering how does it take its imput. I know that it takes a list of numbers representing a function of time and it gives back a list of numbers representing a function of frequency but I was wondering how is the list represented? For example, if my function goes from $-T$ to $T$ and my list is
will Fourier[list] understand that the first value starts in -T or will assume it's a function going from 0 to $2T$? Also, I have the same question regarding the result. Does the result give a list representing the Fourier transform center at zero? Or does it start with the Fourier transform evaluated at $\omega=0$?