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Title: Frame vectors for representations of Abelian groups
Authors: Tang, W.S. 
Weber, E.
Keywords: Frames
Geometrically uniform frames
Group representation
Harmonic frames
Issue Date: Mar-2006
Citation: Tang, W.S., Weber, E. (2006-03). Frame vectors for representations of Abelian groups. Applied and Computational Harmonic Analysis 20 (2) : 283-297. ScholarBank@NUS Repository.
Abstract: Frames that arise from the action of an Abelian group of unitary operators are called harmonic or geometrically uniform frames and have many nice properties. We present some characterization and structure theorems regarding these frames. In particular, we are motivated by (1) the theory of filter banks, and (2) orthogonality of pairs of such frames. © 2005 Elsevier Inc. All rights reserved.
Source Title: Applied and Computational Harmonic Analysis
ISSN: 10635203
DOI: 10.1016/j.acha.2005.09.005
Appears in Collections:Staff Publications

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