%0 Journal Article
%T Localization operators on homogeneous spaces
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Kamyabi Gol, R.
%A Esmaeelzadeh, F.
%A Raisi Tousi, R.
%D 2013
%\ 07/01/2013
%V 39
%N 3
%P 455-467
%! Localization operators on homogeneous spaces
%K Homogenous space
%K square integrable representation
%K n localization operator
%K Schatten $p$-class operator
%R
%X 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$.
%U http://bims.iranjournals.ir/article_422_8480c0250cbcd89dcc3dc2b6983c19d5.pdf