a class of compact operators on homogeneous spaces

نویسندگان

fatemah esmaeelzadeh

rajab ali kamyabi gol

reihaneh raisi tousi

چکیده

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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عنوان ژورنال:
sahand communications in mathematical analysis

ناشر: university of maragheh

ISSN 2322-5807

دوره 1

شماره 2 2014

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