φ-FRAMES AND φ-RIESZ BASES ON LOCALLY COMPACT ABELIAN GROUPS
φ-FRAMES AND φ-RIESZ BASES ON LOCALLY COMPACT ABELIAN GROUPS
We introduce <TEX>${\varphi}$</TEX>-frames in <TEX>$L^2$</TEX>(G), as a generalization of a-frames defined in [8], where G is a locally compact Abelian group and <TEX>${\varphi}$</TEX> is a topological automorphism on G. We give a characterization of <TEX>${\varphi}$</TEX>-frames with regard to usual frames in <TEX>$L^2$</TEX>(G) and show that <TEX>${\varphi}$</TEX>-frames share several useful properties …