Document Type : Research Paper
Authors
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
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[4] K. Zhu, Operator Theory in Function Spaces, Mathematical Surveys and Monographs, Vol. 138, 2007.
[5] M. W. Wong, Wavelet Transform and Localization Operators. Birkhauser Verlag, Basel-Boston-Berlin, 2002.
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