Advances in Applied Clifford Algebras

, Volume 17, Issue 3, pp 357–382 | Cite as

Correct Rules for Clifford Calculus on Superspace

Article

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.

Mathematics Subject Classification (2000).

Primary 30G35 Secondary 58C50 

Keywords.

Clifford Analysis Superspace Dirac operator 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  1. 1.Department of Mathematical AnalysisGhent UniversityGentBelgium

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