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Harmonic and monogenic functions in superspace

Kevin Coulembier (UGent) , Hendrik De Bie (UGent) and Franciscus Sommen (UGent)
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Abstract
The aim of this work is to further extend the analytic theory of monogenic functions in superspace and to construct a set of operators that allow to construct an explicit basis for the spaces of symplectic spherical harmonics.
Keywords
spherical harmonics, Kelvin transformation, Clifford analysis, super analysis

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Citation

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Chicago
Coulembier, Kevin, Hendrik De Bie, and Franciscus Sommen. 2011. “Harmonic and Monogenic Functions in Superspace.” In Trends in Mathematics, ed. Irene Sabadini and Franciscus Sommen, 29–41. Basel, Switserland: Springer.
APA
Coulembier, Kevin, De Bie, H., & Sommen, F. (2011). Harmonic and monogenic functions in superspace. In Irene Sabadini & F. Sommen (Eds.), Trends in Mathematics (pp. 29–41). Presented at the 7th International ISAAC conference, Basel, Switserland: Springer.
Vancouver
1.
Coulembier K, De Bie H, Sommen F. Harmonic and monogenic functions in superspace. In: Sabadini I, Sommen F, editors. Trends in Mathematics. Basel, Switserland: Springer; 2011. p. 29–41.
MLA
Coulembier, Kevin, Hendrik De Bie, and Franciscus Sommen. “Harmonic and Monogenic Functions in Superspace.” Trends in Mathematics. Ed. Irene Sabadini & Franciscus Sommen. Basel, Switserland: Springer, 2011. 29–41. Print.
@inproceedings{2067302,
  abstract     = {The aim of this work is to further extend the analytic theory of monogenic functions in superspace and to construct a set of operators that allow to construct an explicit basis for the spaces of symplectic spherical harmonics.},
  author       = {Coulembier, Kevin and De Bie, Hendrik and Sommen, Franciscus},
  booktitle    = {Trends in Mathematics},
  editor       = {Sabadini, Irene and Sommen, Franciscus},
  isbn         = {9783034602457},
  issn         = {1229-1404},
  keyword      = {spherical harmonics,Kelvin transformation,Clifford analysis,super analysis},
  language     = {eng},
  location     = {London, UK},
  pages        = {29--41},
  publisher    = {Springer},
  title        = {Harmonic and monogenic functions in superspace},
  url          = {http://dx.doi.org/10.1007/978-3-0346-0246-4\_3},
  year         = {2011},
}

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