  We solve for the electronic Raman scattering response functions on an
infinite-dimensional hypercubic lattice employing dynamical mean field theory.
This contribution extends previous work on the nonresonant response to include
the mixed and resonant contributions. We focus our attention on the spinless
Falicov-Kimball model, where the problem can be solved exactly, and the system
can be tuned to go through a Mott-Hubbard-like metal-insulator transition.
Resonant effects vary in different scattering geometries, corresponding to the
symmetries of the charge excitations scattered by the light. We do find that
the Raman response is large near the double resonance, where the transfered
frequency is close to the incident photon frequency. We also find a joint
resonance of both the charge-transfer peak and the low-energy peak when the
incident photon frequency is on the order of the interaction strength. In
general, the resonance effects can create order of magnitude (or more)
enhancements of features in the nonresonant response, especially when the
incident photon frequency is somewhat larger than the frequency of the
nonresonant feature. Finally, we find that the resonant effects also exhibit
isosbestic behavior, even in the A1g and B2g sectors, and it is most prominent
when the incident photon frequency is on the order of the interaction energy.
