I have a several calculations involving similar things to the one below. This is just a simple one so I can work out how to do it because I only have a vague idea.

How does one write the following in momentum space?
f(x)=\int d^{3}y A(x)\omega(y)A(y)

\omega is an operator whose fourier transform I know. x and y are three vectors. I need to express it in terms of momentum space for x and y if that makes sense. Im very confused.