Ghent University Academic Bibliography

Advanced

Gel'fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis

Fred Brackx UGent, Hennie De Schepper UGent, Roman Lávička and Vladimír Souček (2010) AIP Conference Proceedings. 1281. p.1508-1511
abstract
In this note, we describe the Gel’fand-Tsetlin procedure for the construction of an orthogonal basis in spaces of Hermitean monogenic polynomials of a fixed bidegree. The algorithm is based on the Cauchy-Kowalewski extension theorem and the Fischer decomposition in Hermitean Clifford analysis.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
Gel’fand-Tsetlin basis, orthogonal basis, Clifford analysis
in
AIP Conference Proceedings
AIP Conf. Proc.
editor
Theodore Simos, George Psihoyios and Ch Tsitouras
volume
1281
issue title
ICNAAM 2010 : international conference of numerical analysis and applied mathematics
pages
1508 - 1511
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
000289661501017
ISSN
0094-243X
ISBN
9780735408340
9780735408319
DOI
10.1063/1.3498062
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1156748
handle
http://hdl.handle.net/1854/LU-1156748
date created
2011-02-20 12:10:08
date last changed
2017-01-02 09:52:27
@inproceedings{1156748,
  abstract     = {In this note, we describe the Gel{\textquoteright}fand-Tsetlin procedure for the construction of an orthogonal basis in spaces of Hermitean monogenic polynomials of a fixed bidegree. The algorithm is based on the Cauchy-Kowalewski extension theorem and the Fischer decomposition in Hermitean Clifford analysis.},
  author       = {Brackx, Fred and De Schepper, Hennie and L{\'a}vi\v{c}ka, Roman and Sou\v{c}ek, Vladim{\'i}r},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Simos, Theodore and Psihoyios, George and Tsitouras, Ch},
  isbn         = {9780735408340},
  issn         = {0094-243X},
  keyword      = {Gel{\textquoteright}fand-Tsetlin basis,orthogonal basis,Clifford analysis},
  language     = {eng},
  location     = {Rhodes, Greece},
  pages        = {1508--1511},
  publisher    = {American Institute of Physics (AIP)},
  title        = {Gel'fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis},
  url          = {http://dx.doi.org/10.1063/1.3498062},
  volume       = {1281},
  year         = {2010},
}

Chicago
Brackx, Fred, Hennie De Schepper, Roman Lávička, and Vladimír Souček. 2010. “Gel’fand-Tsetlin Procedure for the Construction of Orthogonal Bases in Hermitean Clifford Analysis.” In AIP Conference Proceedings, ed. Theodore Simos, George Psihoyios, and Ch Tsitouras, 1281:1508–1511. Melville, NY, USA: American Institute of Physics (AIP).
APA
Brackx, Fred, De Schepper, H., Lávička, R., & Souček, V. (2010). Gel’fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis. In Theodore Simos, G. Psihoyios, & C. Tsitouras (Eds.), AIP Conference Proceedings (Vol. 1281, pp. 1508–1511). 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, De Schepper H, Lávička R, Souček V. Gel’fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis. In: Simos T, Psihoyios G, Tsitouras C, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2010. p. 1508–11.
MLA
Brackx, Fred, Hennie De Schepper, Roman Lávička, et al. “Gel’fand-Tsetlin Procedure for the Construction of Orthogonal Bases in Hermitean Clifford Analysis.” AIP Conference Proceedings. Ed. Theodore Simos, George Psihoyios, & Ch Tsitouras. Vol. 1281. Melville, NY, USA: American Institute of Physics (AIP), 2010. 1508–1511. Print.