a class of compact operators on homogeneous spaces
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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), 1leq p
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A Class of compact operators on homogeneous spaces
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 $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.
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Journal title:
sahand communications in mathematical analysisPublisher: university of maragheh
ISSN 2322-5807
volume 1
issue 2 2014
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