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

2023/05/03 by Fahlaoui, Said, Monaim, Hakim · 1 citation
#30G35 #42B10 #60B11 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Probability (math.PR)

paper · doi:10.48550/arxiv.2305.02048

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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