  We argue that the conventional method to calculate the OPE coefficients in
the strong coupling limit for heavy-heavy-light operators in the N=4
Super-Yang-Mills theory has to be modified by integrating the light vertex
operator not only over a single string worldsheet but also over the moduli
space of classical solutions corresponding to the heavy states. This reflects
the fact that we are primarily interested in energy eigenstates and not
coherent states. We tested our prescription for the BMN vacuum correlator, for
folded strings on $S^5$ and for two-particle states. Our prescription for
two-particle states with the dilaton leads to a volume dependence which matches
exactly to the structure of finite volume diagonal formfactors. As the volume
depence does not rely on the particular light operator we conjecture that
symmetric OPE coefficients can be described for any coupling by finite volume
diagonal form factors.
