We have just begun that subject, and I'm quite confused as to how the fourier transformation of a function is to be interpreted. In the discrete case it was easy to understand that you just wrote a periodic function as a superposition of sinusoidal functions. But in the case of T->∞ everything in my head gets messed up. How am I to interpret the fourier transformation? Is it essentially transforming the function from a time dependence to a dependence of a continuous frequency spectrum? But why does it even make sense to talk about frequencies when the function is non periodic..??