General One-dimensional Clifford Fourier Transform and Application to Probability Theory

Said Fahlaoui; Hakim Monaim

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arXiv · 2305.02048

General One-dimensional Clifford Fourier Transform and Application to Probability Theory

Said Fahlaoui·Hakim Monaim

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Abstract

In this paper, we present the general one-dimensional Clifford Fourier Transform. We derive fundamental properties: Plancherel theorem, reconstruction and convolution formulas. Additionally, we provide an application to probability theory illustrating results by examples.

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BibTeX RIS

Said Fahlaoui, Hakim Monaim. 2023-05-03. General One-dimensional Clifford Fourier Transform and Application to Probability Theory. https://arxiv.org/abs/2305.02048

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