Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Localization operators on homogeneous spaces455467422ENR.Kamyabi GolFerdowsi University of MashhadF.EsmaeelzadehFerdowsi University of MashhadR.Raisi TousiFerdowsi University of MashhadJournal Article20110814Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localization operator is in Schatten $p$-class and also it is a compact operator for $ 1leq p leqinfty$.http://bims.iranjournals.ir/article_422_8480c0250cbcd89dcc3dc2b6983c19d5.pdf