  The spectral functions of QCD can give us insight into properties of hadrons,
and they are useful in probing the QCD vacuum. I will discuss the correlators
and spectral functions of charmonium in high temperature two flavour QCD. The
spectral functions have been obtained using the Maximum Entropy Method from
anisotropic lattice data using the conserved vector current. This work has been
done as part of the FASTSUM collaboration. We find that the spectral functions
for zero momentum are stable. At non-zero momentum the spectral functions are
less stable but still produce resonance and transport peaks. This work is part
of our programme to calculate the heavy quark diffusion constant.
