Advances in Applied Clifford Algebras

, Volume 24, Issue 4, pp 955–980 | Cite as

Fundaments of Quaternionic Clifford Analysis I: Quaternionic Structure

  • F. Brackx
  • H. De Schepper
  • D. Eelbode
  • R. Lávička
  • V. Souček
Article

Abstract

Introducing a quaternionic structure on Euclidean space, the fundaments for quaternionic and symplectic Clifford analysis are studied in detail from the viewpoint of invariance for the symplectic group action.

Keywords

Quaternionic Clifford analysis quaternionic structure 

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • F. Brackx
    • 1
  • H. De Schepper
    • 1
  • D. Eelbode
    • 2
  • R. Lávička
    • 3
  • V. Souček
    • 3
  1. 1.Clifford Research Group, Dept. of Math. Analysis, Faculty of Engineering and ArchitectureGhent UniversityGentBelgium
  2. 2.University of AntwerpAntwerpenBelgium
  3. 3.Mathematical Institute, Faculty of Mathematics and PhysicsCharles UniversityPrahaCzech Republic

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