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$.
Kamyabi Gol, R., Esmaeelzadeh, F., & Raisi Tousi, R. (2013). Localization operators on homogeneous spaces. Bulletin of the Iranian Mathematical Society, 39(3), 455-467.
MLA
R. Kamyabi Gol; F. Esmaeelzadeh; R. Raisi Tousi. "Localization operators on homogeneous spaces". Bulletin of the Iranian Mathematical Society, 39, 3, 2013, 455-467.
HARVARD
Kamyabi Gol, R., Esmaeelzadeh, F., Raisi Tousi, R. (2013). 'Localization operators on homogeneous spaces', Bulletin of the Iranian Mathematical Society, 39(3), pp. 455-467.
VANCOUVER
Kamyabi Gol, R., Esmaeelzadeh, F., Raisi Tousi, R. Localization operators on homogeneous spaces. Bulletin of the Iranian Mathematical Society, 2013; 39(3): 455-467.