Ghaani Farashahi, A., Mohammad-Pour, M. (2014). A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions. Sahand Communications in Mathematical Analysis, 01(2), 1-17.

Arash Ghaani Farashahi; Mozhgan Mohammad-Pour. "A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions". Sahand Communications in Mathematical Analysis, 01, 2, 2014, 1-17.

Ghaani Farashahi, A., Mohammad-Pour, M. (2014). 'A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions', Sahand Communications in Mathematical Analysis, 01(2), pp. 1-17.

Ghaani Farashahi, A., Mohammad-Pour, M. A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions. Sahand Communications in Mathematical Analysis, 2014; 01(2): 1-17.

A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions

^{1}Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Vienna, Austria.

^{2}Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

Abstract

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.

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