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Clifford Analysis as a Study of Invariant Operators

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Book cover Clifford Analysis and Its Applications

Part of the book series: NATO Science Series ((NAII,volume 25))

Abstract

The conformai invariance of the Dirac equation and its consequences for monogenic functions in Clifford analysis are carefully discussed. The paper is trying to attract the attention of people interested in Clifford analysis to other types of symmetries useful for research in Clifford analysis. First, the general framework of parabolic geometries is recalled. Then two special examples (quaternionic geometry and its symmetry group and projective contact geometry and related symplectic geometry) are discussed in more detail, for possible future applications and as an inspiration for a search for other useful symmetries.

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Author information

Authors and Affiliations

  1. Mathematical Institute of Charles University Prague, Prague, Czech Republic

    Vladimír Souček

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  1. Vladimír Souček
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Editor information

Editors and Affiliations

  1. Department of Mathematical Analysis, Ghent University, Ghent, Belgium

    F. Brackx

  2. Institute of Mathematics and Statistics, University of Kent, Canterbury, UK

    J. S. R. Chisholm

  3. Mathematical Institute, Charles University, Prague, Czech Republic

    V. Souček

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© 2001 Springer Science+Business Media Dordrecht

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Souček, V. (2001). Clifford Analysis as a Study of Invariant Operators. In: Brackx, F., Chisholm, J.S.R., Souček, V. (eds) Clifford Analysis and Its Applications. NATO Science Series, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0862-4_29

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  • DOI: https://doi.org/10.1007/978-94-010-0862-4_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7045-1

  • Online ISBN: 978-94-010-0862-4

  • eBook Packages: Springer Book Archive

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