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

Authors:	S. Arati R. Radha

Affiliation:	Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

Abstract:	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.

Keywords:	Frames Heisenberg group Locally compact abelian group Riesz basis Shift invariant spaces Twisted translates
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