A mean-held theory of the localization transition for strongly interac
ting bosonic systems is developed. Localization is shown to be sensiti
ve to the distribution of the random site energies. It occurs in the p
resence of a triangular distribution, but not a uniform one. The inver
se participation ratio, the single site Green's function, the superflu
id order parameter, and the corresponding susceptibility are calculate
d, and the appropriate exponents determined. All of these quantities i
ndicate the presence of a new phase, which can be identified as the Bo
se glass.