Document Type : Research Paper

Authors

• Fatemah Esmaeelzadeh ¹
• Rajab Ali Kamyabi Gol ²
• Reihaneh Raisi Tousi ³

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.

Abstract

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.

Keywords

• Homogenous space
• Square integrable representation
• Admissible wavelet
• Localization operator