Using a refinable function for the construction of multiresolution analysis in L2(G)

For any locally compact abelian (LCA) and second countable group G, we aim to construct a multires- olution analysis (MRA) in L2(G) by Riesz family of shifts of a refinable function φ 2 L2 (G) based on a uniform lattice L in G that at first, we investigate certain Banach spaces Lp (G), 1p1.

Keywords:

Reisz family , Multiresolution Analysis , Refinable function , LCA group..