Frames and Riesz bases for shift invariant spaces on the abstract Heisenberg group

摘要

Let G be a second countable locally compact abelian group. The aim of this paper is to characterize the left translates on the Heisenberg group H(G) to be frames and Riesz bases in terms of the group Fourier transform. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.