CONVOLUTION THEOREMS FOR CLIFFORD FOURIER TRANSFORM AND PROPERTIES

Mawardi Bahri (1) , Ryuichi Ashino (2) , Rémi Vaillancourt (3)
(1) Hasanuddin University, Indonesia,
(2) Osaka Kyoiku University,
(3) University of Ottawa, Canada

Abstract

The non-commutativity of the Clifford multiplication gives different aspects from the classical Fourier analysis.We establish main properties of convolution theorems for the Clifford Fourier transform. Some properties of these generalized convolutionsare extensions of the corresponding convolution theorems of the classical Fourier transform.

DOI : http://dx.doi.org/10.22342/jims.20.2.143.125-140

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Authors

Mawardi Bahri
Ryuichi Ashino
ashino@cc.osaka-kyoiku.ac.jp (Primary Contact)
Rémi Vaillancourt
Author Biographies

Mawardi Bahri, Hasanuddin University

Department of Mathematics

Ryuichi Ashino, Osaka Kyoiku University

Mathematical Sciences

Rémi Vaillancourt, University of Ottawa

Department of Mathematics and Statistics
Bahri, M., Ashino, R., & Vaillancourt, R. (2014). CONVOLUTION THEOREMS FOR CLIFFORD FOURIER TRANSFORM AND PROPERTIES. Journal of the Indonesian Mathematical Society, 20(2), 125–140. https://doi.org/10.22342/jims.20.2.143.125-140
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