Inverse Fourier transform of decaying function

[redundant6939]

Homework Statement

Find the inverse Fourier transform of
X(e^jw = 1/(1-ae^-jw)²
using the convolution theorem.

Homework Equations

The Attempt at a Solution

I tried finding the partial fraction coefficients but without success.

 

[marcusl]

I assume that you left out a right parenthesis before the equal sign. I don't know what the answer is, but this is oscillatory not decaying.