Fourier transform of xe^-x on [-1, 0]

Megatron16 · Jun 1, 2014

Can anybody help in in finding the Fourier transform of f(x) = xe^-x where -1<x<0 and f(x)= 0 otherwise?

SteamKing · Jun 1, 2014

The range of x is missing a lower limit.

Megatron16 · Jun 1, 2014

Oh sorry, the range of x is -1 < x < 0.

SteamKing · Jun 1, 2014

What's the definition of the Fourier transform of a function f(x)?

Megatron16 · Jun 1, 2014

The formula is given in this link. I have to find G(w), and I have given f(t).
link: http://cnyack.homestead.com/files/afourtr/ftrt.gif

Matterwave · Jun 1, 2014

SteamKing is trying to get you to try to do this problem yourself. He knows the definition of a Fourier transform, but we want to see how you would approach this problem.

Fourier transform of xe^-x on [-1, 0]

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