I've come across an expression that looks like
n(k) = ∫cos(x-y)f(x,y)dxdy
Is there a name for this transform? I would like to invert it to obtain f(x,y) but I'm not used to the 2D integral on the RHS. I tried to turn it into a Fourier transform:
n(k) = 1/2 ( ∫eixe-iyf(x,y)dxdy +...