@article { author = {Kamyabi Gol, R. and Esmaeelzadeh, F. and Raisi Tousi, R.}, title = {Localization operators on homogeneous spaces}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {39}, number = {3}, pages = {455-467}, year = {2013}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {Let $G$ 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$.}, keywords = {Homogenous space,square integrable representation,n localization operator,Schatten $p$-class operator}, url = {http://bims.iranjournals.ir/article_422.html}, eprint = {http://bims.iranjournals.ir/article_422_8480c0250cbcd89dcc3dc2b6983c19d5.pdf} }