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Classification of Finite Group-Frames and Super-Frames

Published online by Cambridge University Press:  20 November 2018

Deguang Han
Deguang Han*
Affiliation:
Department of Mathematics, University of Central Florida, Orlando, FL 32163, U.S.A. e-mail: dhan@pegasus.cc.ucf.edu
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Abstract

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Given a finite group $G$, we examine the classification of all frame representations of $G$ and the classification of all $G$-frames, i.e., frames induced by group representations of $G$. We show that the exact number of equivalence classes of $G$-frames and the exact number of frame representations can be explicitly calculated. We also discuss how to calculate the largest number $L$ such that there exists an $L$-tuple of strongly disjoint $G$-frames.

Keywords

42C1546C0547B10framesgroup-framesframe representationsdisjoint frames
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 85 - 96
Copyright
Copyright © Canadian Mathematical Society 2007

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