A Class of compact operators on homogeneous spaces

Let ϖ be a representation of the homogeneous space G/H, where GG be a locally compact group and HH be a compact subgroup of G. For an admissible wavelet ζ for ϖ and ψ∈Lp(G/H), 1≤p ∞ψ∈Lp(G/H), we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.