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Correct Rules for Clifford Calculus on Superspace

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Abstract.

In this paper an extension of Clifford analysis to superspace is given, inspired by the abstract framework of radial algebra. This framework leads to the introduction of the so-called super-dimension, an important parameter appearing in several formulae. Also the relevant differential operators are introduced and their basic properties are proven.

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Authors and Affiliations

  1. Department of Mathematical Analysis, Ghent University, Galglaan 2, 9000, Gent, Belgium

    Hendrik De Bie & Frank Sommen

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  1. Hendrik De Bie
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  2. Frank Sommen
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Correspondence to Hendrik De Bie.

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The first author is a Research Assistant of the Research Foundation – Flanders (FWO – Vlaanderen).

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De Bie, H., Sommen, F. Correct Rules for Clifford Calculus on Superspace. AACA 17, 357–382 (2007). https://doi.org/10.1007/s00006-007-0042-y

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  • DOI: https://doi.org/10.1007/s00006-007-0042-y

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