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Szegö–radon transform for baxially monogenic functions

Ren Hu (UGent) , Tim Raeymaekers (UGent) and Franciscus Sommen (UGent)
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Abstract
In this paper we introduce the Szego-Radon transform for biaxially monogenic functions, which are calculated explicitly for the two types of biaxially monogenic functions. To simplify these results, we make use of the Funk-Hecke theorem to obtain Vekua systems in two real variables. Using the biaxial decomposition of inner spherical monogenics in biaxially symmetric domain, we obtain the biaxial decomposition of Szego-Radon transform.
Keywords
Clifford analysis, Szego-Radon transform, Biaxially monogenic functions, Vekua system

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Please use this url to cite or link to this publication:

MLA
Hu, Ren, et al. “Szegö–Radon Transform for Baxially Monogenic Functions.” ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol. 29, no. 5, 2019.
APA
Hu, R., Raeymaekers, T., & Sommen, F. (2019). Szegö–radon transform for baxially monogenic functions. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 29(5).
Chicago author-date
Hu, Ren, Tim Raeymaekers, and Franciscus Sommen. 2019. “Szegö–Radon Transform for Baxially Monogenic Functions.” ADVANCES IN APPLIED CLIFFORD ALGEBRAS 29 (5).
Chicago author-date (all authors)
Hu, Ren, Tim Raeymaekers, and Franciscus Sommen. 2019. “Szegö–Radon Transform for Baxially Monogenic Functions.” ADVANCES IN APPLIED CLIFFORD ALGEBRAS 29 (5).
Vancouver
1.
Hu R, Raeymaekers T, Sommen F. Szegö–radon transform for baxially monogenic functions. ADVANCES IN APPLIED CLIFFORD ALGEBRAS. 2019;29(5).
IEEE
[1]
R. Hu, T. Raeymaekers, and F. Sommen, “Szegö–radon transform for baxially monogenic functions,” ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol. 29, no. 5, 2019.
@article{8635442,
  abstract     = {In this paper we introduce the Szego-Radon transform for biaxially monogenic functions, which are calculated explicitly for the two types of biaxially monogenic functions. To simplify these results, we make use of the Funk-Hecke theorem to obtain Vekua systems in two real variables. Using the biaxial decomposition of inner spherical monogenics in biaxially symmetric domain, we obtain the biaxial decomposition of Szego-Radon transform.},
  articleno    = {87},
  author       = {Hu, Ren and Raeymaekers, Tim and Sommen, Franciscus},
  issn         = {0188-7009},
  journal      = {ADVANCES IN APPLIED CLIFFORD ALGEBRAS},
  keywords     = {Clifford analysis,Szego-Radon transform,Biaxially monogenic functions,Vekua system},
  language     = {eng},
  location     = {Univ Tampere, Tampere, FINLAND},
  number       = {5},
  title        = {Szegö–radon transform for baxially monogenic functions},
  url          = {http://dx.doi.org/10.1007/s00006-019-1008-6},
  volume       = {29},
  year         = {2019},
}

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