"Sketch the form of the Fourier transform" - is this right? Question ~ sketch the "form of the Fourier transform" for the function: f(k) = sin^2(ka/2) / (ka/2)^2 So I'm thinking it will look like a cos [or sin] graph (shifted so that its 'above' *f(k)=0*) and that there will be some sort of *central* highest maximum and then the hight of the peaks tends to 0. *** My question is does this graph have one highest maximum when k=0 or does it have two highest maximums either side of the origin spaced evenly from the origin [k=0]? At the moment I'm thinking there will be two highest maximums which occur at -π/2 and π/2. Also, that when k = 0, f(k)=0. Later on however in the question it implies that there is one central maximum: "...find the values of k when f(k) first becomes zero either side of the central maximum at k=0..." Any advice?