We construct the spectral function of the Luther-Emery model which des
cribes one-dimensional fermions with gapless charge and gapped spin de
grees of freedom. We find a true singularity with interaction dependen
t exponents on the gapped spin dispersion and a finite maximum dependi
ng on the magnitude of the spin gap on a shifted charge dispersion. We
apply these results to photoemission experiments on charge density wa
ve systems and discuss the spectral properties of a one-dimensional Mo
tt insulator.