So there isn't a theorem where I can simply put 2 transforms function together?!
Hi Tachyon, is this what you mean?
1. ∫t*e^-2t^2 e^-iwt dt
2. -2t^2-iwt = -2(t^2+iwt/2) = -2[(t+iw/4)^2+w^2/16]=-2(t+iw/4)^2 -(w^2)/8
as I let p=t+iw/4 therefore dp=dt
3. ∫t*e^((-w^2)/8)dt +∫e^(-2p^2) dp...
Homework Statement
f(t)=t*e^(-2t^2)
Find the Fourier Transform F(w) of f(t).
It is given that when f(t)=e^[(-at^2)/2] F(w)=√(2*pi/a)*e^[(-w^2)/2a]
Homework Equations
The Attempt at a Solution
The transform of e^(-2t^2) is easily obtained from the given information, and I got...