Hi there,
I'm stuck on this problem:
Given that the Fourier Transform of e^(α|t|) is

2α/(α^2 + ω^2),

determine the Fourier transform of

5/(t^2 + α^2).
I have no idea where to start Please help!

 

Hi there,
I'm stuck on this problem:
Given that the Fourier Transform of e^(α|t|) is

2α/(α^2 + ω^2),

determine the Fourier transform of

5/(t^2 + α^2).
I have no idea where to start Please help!

There, a is constant, u can use property f(t)---->F(w)
then F(t)----->2*pi*f(-w).