  We use a complete pseudoparticle operator representation to study the
explicit form of the finite-frequency conductivity for the Hubbard chain. Our
study reveals that the spectral weight is mostly concentrated at the \omega =0
Drude peak (except at density n=1) and at an absorption starting just below
twice the value of the chemical potential whose \omega-dependence we evaluate
exactly. We also obtain the exact \omega dependence of the higher-energy,
less-pronounced absorption edges, whose weights vanish for large on-site
interaction U.
