Frames and Riesz bases for shift invariant spaces on the abstract Heisenberg group
type: Item
instance of: scholarly article
title: Frames and Riesz bases for shift invariant spaces on the abstract Heisenberg group
zbMATH Open document ID: 1405.43004
author: S. Arati
author: R. Radha
published in: Indagationes Mathematicae. New Series
publication date: 2018-12-11T00:00:00Z
review text: The aim of this paper is to characterize the left translates on the Heisenberg group \(\mathbb H(G)\), where \(G\) is a second countable locally compact abelian group, to be frames and Riesz bases in terms of the group Fourier transform. For this, the twisted shift invariant spaces and, correspondingly, twisted translations are considered.
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 43A25
Mathematics Subject Classification ID: 54C35
zbMATH DE Number: 6991909
zbMATH Keywords: frames
zbMATH Keywords: Heisenberg group
zbMATH Keywords: locally compact abelian group
zbMATH Keywords: Riesz basis
zbMATH Keywords: shift invariant spaces
zbMATH Keywords: twisted translates
MaRDI profile type: Publication
full work available at URL: j.indag.2018.09.001
OpenAlex ID: W2890368501
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DOI: 10.1016/J.INDAG.2018.09.001
description: scientific article; zbMATH DE number 6991909