Conformal field theory and Bethe ansatz are used to investigate the lo
w energy features of the spectral function in one dimensional models w
hich exhibit a gap in the spin or in the charge excitation spectrum. E
xotic behavior is found in the superconducting case, where the Green f
unction displays momentum dependent Tomonaga-Luttinger liquid exponent
s. The predictions of the formalism are confirmed by Lanczos diagonali
zations in the t-J model up to 32 sites. These results may be relevant
in connection to photoemission experiments in quasi-one-dimensional i
nsulators or superconductors.