Spectral Functions for the Tomonaga-Luttinger and Luther-Emery Liquids

We calculate the finite temperature single hole spectral function and the spin dynamic structure factor of spinfull one-dimensional Tomonaga-Luttinger liquid. Analytical expressions are obtained for a number of special cases. We also calculate the single hole spectral function of a spin gapped Luther-Emery liquid and obtain exact results at the free fermion point K_s=1/2. These results may be applied to the analysis of angle resolved photoemission and neutron scattering experiments on quasi-one-dimensional materials.