A Class of compact operators on homogeneous spaces

Abstract

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

Keywords

• Homogenous space
• Square integrable representation
• Admissible wavelet
• Localization operator