Dimension-theoretical structure of locally compact groups
نویسندگان
چکیده
منابع مشابه
Pseudoframe multiresolution structure on abelian locally compact groups
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 $L^2(G)$ bas...
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متن کاملpseudoframe multiresolution structure on abelian locally compact groups
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 $l^2(g)$ bas...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1962
ISSN: 0025-5645
DOI: 10.2969/jmsj/01440379