A CLASS OF COMPACT OPERATORS ON HOMOGENEOUS SPACES

Let ϖ be a representation of the homogeneous space G/H, where G be a locally compact group and H be a compact sub- group of G. For an admissible wavelet ζ for ϖ and ψ 2 Lp(G/H), 1 p < 1, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.