  After an introduction to the dirty bosons problem, we present a gaussian
theory for the ground state and excitations. This approach is physically
equivalent to the Bogoliubov approximation. We find that ODLRO can be destroyed
with sufficient disorder. The density of states and localization of the
elementary excitations are discussed. (To appear in JLTP Proceedings of the
Conference on Condensed Bose Systems at the University of Minnesota, 1993.)
