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

Fred Brackx UGent, Liesbet Van de Voorde UGent (2010) 1281. p.1519-1522
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.
author
organization
year
type
conference
publication status
published
subject
keyword
Clifford analysis, fundamental solution., higher spin operator
in
AIP Conference Proceedings
AIP Conf. Proc.
editor
Theodore Simos and Ch Tsitouras
volume
1281
issue title
ICNAAM 2010 : international conference of numerical analysis and applied mathematics
pages
1519 - 1522
publisher
American Institute of Physics (AIP)
place of publication
Melville, NY, USA
conference name
8th International conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010)
conference location
Rhodes, Greece
conference start
2010-09-19
conference end
2010-09-25
Web of Science type
Proceedings Paper
Web of Science id
000289661501020
ISSN
0094-243X
ISBN
9780735408340
9780735408319
DOI
10.1063/1.3498070
language
English
UGent publication?
yes
classification
P1
I have transferred the copyright for this publication to the publisher
id
1156780
handle
http://hdl.handle.net/1854/LU-1156780
date created
2011-02-20 12:36:27
date last changed
2011-05-30 10:51:38
```@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},
}

```
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.