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On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems

Richard Delanghe (UGent) , Roman Lávička and Vladimír Souček
(2011) ADVANCES IN APPLIED CLIFFORD ALGEBRAS. 21(3). p.521-530
Author
Organization
Abstract
The aim of the paper is to study relations between polynomial solutions of generalized Moisil-Theodoresco (GMT) systems and polynomial solutions of Hodge-de Rham systems and, using these relations, to describe polynomial solutions of GMT systems. We decompose the space of homogeneous solutions of GMT system of a given homogeneity into irreducible pieces under the action of the group O(m) and we characterize individual pieces by their highest weights and we compute their dimensions.
Keywords
Clifford analysis, Hodge-de Rham equations, Moisil-Theodoresco equations, polynomial solutions

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Citation

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MLA
Delanghe, Richard, et al. “On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems.” ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol. 21, no. 3, 2011, pp. 521–30, doi:10.1007/s00006-010-0262-4.
APA
Delanghe, R., Lávička, R., & Souček, V. (2011). On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 21(3), 521–530. https://doi.org/10.1007/s00006-010-0262-4
Chicago author-date
Delanghe, Richard, Roman Lávička, and Vladimír Souček. 2011. “On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems.” ADVANCES IN APPLIED CLIFFORD ALGEBRAS 21 (3): 521–30. https://doi.org/10.1007/s00006-010-0262-4.
Chicago author-date (all authors)
Delanghe, Richard, Roman Lávička, and Vladimír Souček. 2011. “On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems.” ADVANCES IN APPLIED CLIFFORD ALGEBRAS 21 (3): 521–530. doi:10.1007/s00006-010-0262-4.
Vancouver
1.
Delanghe R, Lávička R, Souček V. On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. ADVANCES IN APPLIED CLIFFORD ALGEBRAS. 2011;21(3):521–30.
IEEE
[1]
R. Delanghe, R. Lávička, and V. Souček, “On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems,” ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol. 21, no. 3, pp. 521–530, 2011.
@article{1888747,
  abstract     = {{The aim of the paper is to study relations between polynomial
solutions of generalized Moisil-Theodoresco (GMT) systems and polynomial solutions of Hodge-de Rham systems and, using these relations, to describe polynomial solutions of GMT systems. We decompose the space of homogeneous solutions of GMT system of a given homogeneity into irreducible pieces under the action of the group O(m) and we characterize individual pieces by their highest weights and we compute their dimensions.}},
  author       = {{Delanghe, Richard and Lávička, Roman and Souček, Vladimír}},
  issn         = {{0188-7009}},
  journal      = {{ADVANCES IN APPLIED CLIFFORD ALGEBRAS}},
  keywords     = {{Clifford analysis,Hodge-de Rham equations,Moisil-Theodoresco equations,polynomial solutions}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{521--530}},
  title        = {{On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems}},
  url          = {{http://doi.org/10.1007/s00006-010-0262-4}},
  volume       = {{21}},
  year         = {{2011}},
}
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