Author = Azarmi, Hamide
Number of Articles: 1
Pseudoframe multiresolution structure on abelian locally compact groups
Volume 3, Issue 2, 2016, Pages 43-54
https://doi.org/10.22072/wala.2016.23239
Hamide Azarmi, Radjabali Kamyabi Gol, Mohammad Janfada
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.