@article { author = {Azarmi, Hamide and Kamyabi Gol, Radjabali and Janfada, Mohammad}, title = {Pseudoframe multiresolution structure on abelian locally compact groups}, journal = {Wavelet and Linear Algebra}, volume = {3}, number = {2}, pages = {43-54}, year = {2016}, publisher = {Vali-e-Asr university of Rafsanjan}, issn = {2383-1936}, eissn = {2476-3926}, doi = {10.22072/wala.2016.23239}, 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.}, keywords = {‎Pseudoframe,generalized multiresolution structure,locally compact group‎, ‎affine pseudoframe‎}, url = {https://wala.vru.ac.ir/article_23239.html}, eprint = {https://wala.vru.ac.ir/article_23239_9bab4fd5ee9537b7e6c4e65984d3cc78.pdf} }