  We discuss the excess conductivity at nonzero frequencies in a superconductor
above T_c within the gaussian approximation. We focus the attention on the
temperature range not too close to T_c: within a time-dependent Ginzburg-Landau
formulation, we phenomenologically introduce a short wavelength cutoff (of the
order of the inverse coherence length) in the fluctuational spectrum to
suppress high momentum modes. We treat the general cases of thin wires,
anisotropic thin films and anisotropic bulk samples. We obtain in all cases
explicit expressions for the finite frequency fluctuational conductivity. The
dc case directly follows. Close to T_c the cutoff has no effect, and the known
results for Gaussian fluctuations are recovered. Above T_c, and already for
epsilon = ln(T/T_c) > 10^{-2}, we find strong suppression of the
paraconductivity as compared to the gaussian prediction, in particular in the
real part of the paraconductivity. At high epsilon the cutoff effects are
dominant. We discuss our results in comparison with data on high-T_c
superconductors.
