- Author
- Fred Brackx (UGent) , Hennie De Schepper (UGent) and Roman Lavicka
- Organization
- Abstract
- An overview is given of recent constructions of orthogonal Appell bases for spaces of spherical harmonics, spherical monogenics, Hermitian monogenics and solutions of Hodge-de Rham systems. The constructions are based on the so-called branching of the corresponding spaces of homogeneous polynomials, and in each of these cases the branching is explicitly depicted.
- Keywords
- spherical harmonics, spherical monogenics, orthogonal basis, HERMITEAN CLIFFORD ANALYSIS, Hermitian monogenics, Hodge-de Rham systems
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-3079049
- MLA
- Brackx, Fred, et al. “Branching of Monogenic Polynomials.” AIP Conference Proceedings, edited by Teodore Simos et al., vol. 1479, American Institute of Physics, 2012, pp. 304–07, doi:10.1063/1.4756123.
- APA
- Brackx, F., De Schepper, H., & Lavicka, R. (2012). Branching of monogenic polynomials. In T. Simos, G. Psihoyios, C. Tsitouras, & Z. Anastassi (Eds.), AIP Conference Proceedings (Vol. 1479, pp. 304–307). https://doi.org/10.1063/1.4756123
- Chicago author-date
- Brackx, Fred, Hennie De Schepper, and Roman Lavicka. 2012. “Branching of Monogenic Polynomials.” In AIP Conference Proceedings, edited by Teodore Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi, 1479:304–7. Melville, NY, USA: American Institute of Physics. https://doi.org/10.1063/1.4756123.
- Chicago author-date (all authors)
- Brackx, Fred, Hennie De Schepper, and Roman Lavicka. 2012. “Branching of Monogenic Polynomials.” In AIP Conference Proceedings, ed by. Teodore Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi, 1479:304–307. Melville, NY, USA: American Institute of Physics. doi:10.1063/1.4756123.
- Vancouver
- 1.Brackx F, De Schepper H, Lavicka R. Branching of monogenic polynomials. In: Simos T, Psihoyios G, Tsitouras C, Anastassi Z, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics; 2012. p. 304–7.
- IEEE
- [1]F. Brackx, H. De Schepper, and R. Lavicka, “Branching of monogenic polynomials,” in AIP Conference Proceedings, Kos, Greece, 2012, vol. 1479, pp. 304–307.
@inproceedings{3079049,
abstract = {{An overview is given of recent constructions of orthogonal Appell bases for spaces of spherical harmonics, spherical monogenics, Hermitian monogenics and solutions of Hodge-de Rham systems. The constructions are based on the so-called branching of the corresponding spaces of homogeneous polynomials, and in each of these cases the branching is explicitly depicted.}},
author = {{Brackx, Fred and De Schepper, Hennie and Lavicka, Roman}},
booktitle = {{AIP Conference Proceedings}},
editor = {{Simos, Teodore and Psihoyios, George and Tsitouras, Ch and Anastassi, Zacharias}},
isbn = {{9780735410916}},
issn = {{0094-243X}},
keywords = {{spherical harmonics,spherical monogenics,orthogonal basis,HERMITEAN CLIFFORD ANALYSIS,Hermitian monogenics,Hodge-de Rham systems}},
language = {{eng}},
location = {{Kos, Greece}},
pages = {{304--307}},
publisher = {{American Institute of Physics}},
title = {{Branching of monogenic polynomials}},
url = {{http://doi.org/10.1063/1.4756123}},
volume = {{1479}},
year = {{2012}},
}
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