University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201A Class of compact operators on homogeneous spaces394511275ENFatemahEsmaeelzadehDepartment of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran.Rajab AliKamyabi GolDepartment of Mathematics, Center of Excellency in Analysis on Algebraic
Structures(CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad
91775, Iran.ReihanehRaisi TousiDepartment of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159,
Mashhad 91775, Iran.Journal Article20130905Let $varpi$ 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 $zeta$ for $varpi$ and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.http://scma.maragheh.ac.ir/article_11275_2af10d7d0a659c8c7a3a2841a2740d7d.pdf