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arXiv 1306.16792013-06-07math.RAcs.CV

Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q=2

University of Fukui（福井大学）

Eckhard Hitzer

备注：: 6 pages, 2 figures
发表信息：: 9th International conference on mathematical problems in engineering, aerospace and sciences: ICNPAA 2012. AIP Conference Proceedings, Volume 1493, pp. 480-485 (2012)
DOI：: 10.1063/1.4765531

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We describe a non-commutative generalization of the complex Fourier-Mellin transform to Clifford algebra valued signal functions over the domain $\R^{p,q}$ taking values in Cl(p,q), p+q=2. Keywords: algebra, Fourier transforms; Logic, set theory, and algebra, Fourier analysis, Integral transforms

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