%0 Journal Article
%T Pseudoframe multiresolution structure on abelian locally compact groups
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Azarmi, Hamide
%A Kamyabi Gol, Radjabali
%A Janfada, Mohammad
%D 2016
%\ 12/01/2016
%V 3
%N 2
%P 43-54
%! Pseudoframe multiresolution structure on abelian locally compact groups
%K Pseudoframe
%K generalized multiresolution structure
%K locally compact group, affine pseudoframe
%R 10.22072/wala.2016.23239
%X 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.
%U https://wala.vru.ac.ir/article_23239_9bab4fd5ee9537b7e6c4e65984d3cc78.pdf