  We study the theory of intrinsic photoluminescence of two-dimensional
electron systems in the vicinity of the $\nu=1$ quantum Hall state. We focus
predominantly on the recombination of a band of initial ``excitonic states''
that are the low-lying energy states of our model at $\nu=1$. It is shown that
the recombination of excitonic states can account for recent observations of
the polarization-resolved spectra of a high-mobility GaAs quantum well. The
asymmetric broadening of the spectral line in the $\sigma_-$ polarization is
explained to be the result of the ``shake-up'' of spin-waves upon radiative
recombination of excitonic states. We derive line shapes for the recombination
of excitonic states in the presence of long-range disorder that compare
favourably with the experimental observations. We also discuss the stabilities
and recombination spectra of other (``charged'') initial states of our model.
An additional high-energy line observed in experiment is shown to be consistent
with the recombination of a positively-charged state. The recombination
spectrum of a negatively-charged initial state, predicted by our model but not
observed in the present experiments, is shown to provide a direct measure of
the formation energy of the smallest ``charged spin-texture'' of the $\nu=1$
state.
