  We present a theoretical study of the dynamic structure function of a
resonantly interacting two-component Fermi gas at zero temperature. Our
approach is based on dynamic many-body theory able to describe excitations in
strongly correlated Fermi systems. The fixed-node diffusion Monte Carlo method
is used to produce the ground-state correlation functions which are used as an
input for the excitation theory. Our approach reproduces recent Bragg
scattering data in both the density and the spin channel. In the BCS regime,
the response is close to that of the ideal Fermi gas. On the BEC side, the Bose
peak associated with the formation of dimers dominates the density channel of
the dynamic response. When the fraction of dimers is large our theory departs
from the experimental data, mainly in the spin channel.
