General One-dimensional Clifford Fourier Transform and Application to Probability Theory
Functional Analysis
2023-05-04 v1 Operator Algebras
Probability
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.
Keywords
Cite
@article{arxiv.2305.02048,
title = {General One-dimensional Clifford Fourier Transform and Application to Probability Theory},
author = {Said Fahlaoui and Hakim Monaim},
journal= {arXiv preprint arXiv:2305.02048},
year = {2023}
}