  Attractive interaction between fermions can lead to pairing and superfluidity
in an optical lattice. In contrast to the `continuum', on a lattice the trap
induced density variation can generate a non monotonic profile of the pairing
amplitude, and completely modify the spectral signatures of any possible
pseudogap phase. Using a tool that fully captures the inhomogeneity and strong
thermal fluctuations, we demonstrate how the crucial radio frequency signatures
of pairing are `inverted' in a trapped attractive fermion lattice compared to
the traditional continuum case. These features would be central in interpreting
any spectroscopic hint of fermion pairing and superfluidity.
