A unified theoretical harmonic analysis approach to the cyclic wavelet transform

Arash Ghaani Farashahi; Mozhgan Mohammad-Pour

Sahand Communications in Mathematical Analysis (Dec 2014)

A unified theoretical harmonic analysis approach to the cyclic wavelet transform

Arash Ghaani Farashahi,
Mozhgan Mohammad-Pour

Affiliations

Arash Ghaani Farashahi: Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Vienna, Austria.
Mozhgan Mohammad-Pour: Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

Journal volume & issue: Vol. 1, no. 2
pp. 1 – 17

Abstract

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The article introduces cyclic dilation groups and finite affine groups for prime integers, and as an application of this theory it presents a unified group theoretical approach for the cyclic wavelet transform (CWT) of prime dimensional periodic signals.

Published in Sahand Communications in Mathematical Analysis

ISSN: 2322-5807 (Print); 2423-3900 (Online)
Publisher: University of Maragheh
Country of publisher: Iran, Islamic Republic of
LCC subjects: Science: Mathematics
Website: http://scma.maragheh.ac.ir/

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