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All the groups of signal analysis from the (1+1)-affine Galilei group

Title:

All the groups of signal analysis from the (1+1)-affine Galilei group

Chowdhury, S. Hasibul Hassan and Ali, S. Twareque (2011) All the groups of signal analysis from the (1+1)-affine Galilei group. Journal of Mathematical Physics, 52 (10). p. 103504. ISSN 00222488

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Official URL: http://dx.doi.org/10.1063/1.3652697

Abstract

We study the relationship between the (1+1)-affine Galilei group and four groups of interest in signal analysis and image processing, viz., the wavelet or the affine group of the line, the Weyl-Heisenberg, the shearlet, and the Stockwell groups. We show how all these groups can be obtained either directly as subgroups of the affine Galilei group, or as subgroups of central extensions of a subgroup of the affine Galilei group, namely, the Galilei-Schrödinger group. We also study this at the level of unitary representations of the groups on Hilbert spaces.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Refereed:Yes
Authors:Chowdhury, S. Hasibul Hassan and Ali, S. Twareque
Journal or Publication:Journal of Mathematical Physics
Date:2011
ID Code:973664
Deposited By:ANDREA MURRAY
Deposited On:15 Mar 2012 16:44
Last Modified:15 Mar 2012 16:44
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