  In this paper we derive general expressions for few-electron spectral
functions of the one-dimensional Hubbard model for values of the excitation
energy in the vicinity of the $M^{th}$ upper-Hubbard band lower limit. Here
$M=1,2,...$ is the rotated-electron double occupation, which vanishes for the
ground state and is a good quantum number for all values of the on-site Coulomb
repulsion $U$. Our studies rely on a combination of symmetries of the model
with a recent finite-energy holon and spinon description of the quantum
problem. We apply our general scheme to the one-electron addition spectral
function, dynamical structure factor, and spin singlet Cooper pair addition
spectral function. Our results provide physically interesting information about
the finite-energy spectral properties of the many-electron one-dimensional
quantum liquid.
