Document Type : Research Paper
1 Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran.
2 Department of Mathematics, Center of Excellency in Analysis on Algebraic Structures(CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran.
3 Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran.
Let $\varpi$ 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 $\psi \in L^p(G/H),\ \ 1\leq p <\infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.
 G. B. Folland, A Course in Abstract Harmonic Analysis, CRC Press, 1995.
 K. Zhu, Operator Theory in Function Spaces, Mathematical Surveys and Monographs, Vol. 138, 2007.
 M. W. Wong, Wavelet Transform and Localization Operators. Birkhauser Verlag, Basel-Boston-Berlin, 2002.