Author/Authors :
Janfada, Mohammad Department of pure Mathematics - Ferdowsi University of Mashhad, Islamic Republic of Iran , Kamyabi Gola, Rajab Ali Department of pure Mathematics - Ferdowsi University of Mashhad, Islamic Republic of Iran , Azarmia, Hamide Department of pure Mathematics - Ferdowsi University of Mashhad, Islamic Republic of Iran
Abstract :
Let G be a locally compact abelian group. The concept of generalized
multiresolution structure (GMS) in L2(G) is discussed
which is a generalization of GMS in L2(R). Basically, a GMS
in L2(G) consists of an increasing sequence of closed subspaces
of L2(G) and a pseudoframe of translation type at each level.
Also, the construction of ane pseudoframes for L2(G) based
on a GMS is presented
Keywords :
generalized multiresolution structure , Pseudoframe , Pseudoframe multiresolution structure on locally compact abelian groups
