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On the fundamental solution and integral formulae of a higher spin operator in several vector variables

(2010) AIP Conference Proceedings. 1281. p.1519-1522
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Abstract
The fundamental solution is constructed of a particular higher spin operator in Rm, acting on functions taking values in an irreducible representation space for Spin(m) with highest weight (k+ 1/2 ; l+ 1/2; 1/2;...;1/2), with natural k and l and k > l. Some basic integral formulae are stated.
Keywords
Clifford analysis, fundamental solution., higher spin operator

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Citation

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Chicago
Brackx, Fred, David Eelbode, Liesbet Van de Voorde, and Peter Van Lancker. 2010. “On the Fundamental Solution and Integral Formulae of a Higher Spin Operator in Several Vector Variables.” In AIP Conference Proceedings, ed. Theodore Simos, George Psihoyios, and Ch Tsitouras, 1281:1519–1522. Melville, NY, USA: American Institute of Physics (AIP).
APA
Brackx, Fred, Eelbode, D., Van de Voorde, L., & Van Lancker, P. (2010). On the fundamental solution and integral formulae of a higher spin operator in several vector variables. In Theodore Simos, G. Psihoyios, & C. Tsitouras (Eds.), AIP Conference Proceedings (Vol. 1281, pp. 1519–1522). Presented at the 8th International conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), Melville, NY, USA: American Institute of Physics (AIP).
Vancouver
1.
Brackx F, Eelbode D, Van de Voorde L, Van Lancker P. On the fundamental solution and integral formulae of a higher spin operator in several vector variables. In: Simos T, Psihoyios G, Tsitouras C, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2010. p. 1519–22.
MLA
Brackx, Fred, David Eelbode, Liesbet Van de Voorde, et al. “On the Fundamental Solution and Integral Formulae of a Higher Spin Operator in Several Vector Variables.” AIP Conference Proceedings. Ed. Theodore Simos, George Psihoyios, & Ch Tsitouras. Vol. 1281. Melville, NY, USA: American Institute of Physics (AIP), 2010. 1519–1522. Print.
@inproceedings{1156780,
  abstract     = {The fundamental solution is constructed of a particular higher spin operator in Rm, acting on functions taking values in an irreducible representation space for Spin(m) with highest weight (k+ 1/2 ; l+ 1/2; 1/2;...;1/2), with natural k and l and k {\textrangle} l. Some basic integral formulae are stated.},
  author       = {Brackx, Fred and Eelbode, David and Van de Voorde, Liesbet and Van Lancker, Peter},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Simos, Theodore and Psihoyios, George and Tsitouras, Ch},
  isbn         = {9780735408340},
  issn         = {0094-243X},
  keyword      = {Clifford analysis,fundamental solution.,higher spin operator},
  language     = {eng},
  location     = {Rhodes, Greece},
  pages        = {1519--1522},
  publisher    = {American Institute of Physics (AIP)},
  title        = {On the fundamental solution and integral formulae of a higher spin operator in several vector variables},
  url          = {http://dx.doi.org/10.1063/1.3498070},
  volume       = {1281},
  year         = {2010},
}

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