Two-Sided Clifford-Valued Special Affine Fourier Transform: Properties and Associated Convolution
The primary focus of the present study is to analyse the Clifford-valued functions by introducing the notion of a two-sided Clifford-valued special affine Fourier transform in L2(Rn,Cl0,n). Firstly we propose the novel definition of the Clifford-valued special affine Fourier transform and derive its...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Mathyze Publishers
2024-07-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/194 |
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| Summary: | The primary focus of the present study is to analyse the Clifford-valued functions by introducing the notion of a two-sided Clifford-valued special affine Fourier transform in L2(Rn,Cl0,n). Firstly we propose the novel definition of the Clifford-valued special affine Fourier transform and derive its fundamental properties which include inversion formula, translation covariance, scaling covariance and Plancherel formula. Subsequently we introduce the boundedness, continuity and differentiation theorems for the proposed transform. Finally we culminate our investigation by deriving the convolution for this newly proposed transform. |
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| ISSN: | 2832-4293 |