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

(2010) AIP Conference Proceedings. 1281. p.1508-1511
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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.
Keywords
Gel’fand-Tsetlin basis, orthogonal basis, Clifford analysis

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Citation

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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.
@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},
}

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