pseudoframe multiresolution structure on abelian locally compact groups
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abstract
let $g$ be a locally compact abelian group. the concept of a generalized multiresolution structure (gms) in $l^2(g)$ is discussed which is a generalization of gms in $l^2(mathbb{r})$. basically a gms in $l^2(g)$ consists of an increasing sequence of closed subspaces of $l^2(g)$ and a pseudoframe of translation type at each level. also, the construction of affine frames for $l^2(g)$ based on a gms is presented.
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wavelets and linear algebraجلد ۳، شماره ۲، صفحات ۴۳-۵۴
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