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(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.