Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19363220161201Pseudoframe multiresolution structure on abelian locally compact groups43542323910.22072/wala.2016.23239ENHamideAzarmiPh. D. student in Ferdowsi University of MashhadRadjabaliKamyabi GolDepartment of pure Mathematics; Ferdowsi University of Mashhad;MohammadJanfadaDepartment of pure Mathematics;Ferdowsi University of Mashhad;Journal Article20151231Let $G$ 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.https://wala.vru.ac.ir/article_23239_9bab4fd5ee9537b7e6c4e65984d3cc78.pdf