Integrating Complex Conjugates: Solving the Integral with a Constant y

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Homework Statement


int(f*(x-y/2)f(x+y/2)dx) from -infinity to infinity

* denotes complex conjugation

y can be treated as a constant in this integral.

The Attempt at a Solution


I have tried the Fourier convolution theorem but that didn't seem to work.
 
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Don't you have any kind of information on f?
 
f is meant to be the usual coordinate space wave function. So you can think of it as psi but no more specific information than that.
 
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