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

Published 3 May 2023 in math.FA, math.OA, and math.PR | (2305.02048v1)

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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