In i) is requested the computation of the Fourier Transform of...
(1)
... and to achieve that we can use the 'little nice formula'...
(2)
Applying (2) we find that...
(3)
Kind regards
For part i, I found that the answer is
F(w) = (4sinw - 4wcosw)/w^3
For part ii, I consider
[F(x)]^2 which is equal to 16[(xcosx - sinx)^2]/x^6
and then i tried to use the Convolution relation
[F(x)]^2 = Fourier Transform of [ f*f] = Fourier Transform of (integrate from -infinity to infinity[f(t-k)f(k)]dk)
However, the integration is not converge, so I think there must be some mistakes.
Please gives me some idea on this........