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Martinelli-Bochner formula using Clifford analysis

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Abstract.

In the even dimensional case the Dirac equation may be reduced to the so-called isotonic Dirac system, in which different Dirac operators appear from both sides in half the dimension. This system is then used to derive the classical Martinelli-Bochner formula for several complex variables.

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Authors and Affiliations

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

    Frank Sommen & Dixan Peña Peña

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  1. Frank Sommen
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  2. Dixan Peña Peña
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Correspondence to Frank Sommen.

Additional information

Frank Sommen: Supported by FWO-Krediet aan Navorsers 1.5.065.04.

Dixan Peña Peña: Supported by a Doctoral Grant of the Special Research Fund of Ghent University.

Received: 8 March 2006

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Sommen, F., Peña Peña, D. Martinelli-Bochner formula using Clifford analysis. Arch. Math. 88, 358–363 (2007). https://doi.org/10.1007/s00013-006-1932-2

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  • DOI: https://doi.org/10.1007/s00013-006-1932-2

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