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Fueter polynomials in discrete Clifford analysis

Hilde De Ridder (UGent) , Hennie De Schepper (UGent) and Franciscus Sommen (UGent)
(2012) MATHEMATISCHE ZEITSCHRIFT. 272(1-2). p.253-268
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Abstract
Discrete Clifford analysis is a higher dimensional discrete function theory, based on skew Weyl relations. The basic notions are discrete monogenic functions, i.e. Clifford algebra valued functions in the kernel of a discrete Dirac operator. In this paper, we introduce the discrete Fueter polynomials, which form a basis of the space of discrete spherical monogenics, i.e. discrete monogenic, homogeneous polynomials. Their definition is based on a Cauchy-Kovalevskaya extension principle. We present the explicit construction for this discrete Fueter basis, in arbitrary dimension m and for arbitrary homogeneity degree k.
Keywords
Fueter polynomials, Discrete Clifford analysis

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MLA
De Ridder, Hilde, et al. “Fueter Polynomials in Discrete Clifford Analysis.” MATHEMATISCHE ZEITSCHRIFT, vol. 272, no. 1–2, 2012, pp. 253–68, doi:10.1007/s00209-011-0932-5.
APA
De Ridder, H., De Schepper, H., & Sommen, F. (2012). Fueter polynomials in discrete Clifford analysis. MATHEMATISCHE ZEITSCHRIFT, 272(1–2), 253–268. https://doi.org/10.1007/s00209-011-0932-5
Chicago author-date
De Ridder, Hilde, Hennie De Schepper, and Franciscus Sommen. 2012. “Fueter Polynomials in Discrete Clifford Analysis.” MATHEMATISCHE ZEITSCHRIFT 272 (1–2): 253–68. https://doi.org/10.1007/s00209-011-0932-5.
Chicago author-date (all authors)
De Ridder, Hilde, Hennie De Schepper, and Franciscus Sommen. 2012. “Fueter Polynomials in Discrete Clifford Analysis.” MATHEMATISCHE ZEITSCHRIFT 272 (1–2): 253–268. doi:10.1007/s00209-011-0932-5.
Vancouver
1.
De Ridder H, De Schepper H, Sommen F. Fueter polynomials in discrete Clifford analysis. MATHEMATISCHE ZEITSCHRIFT. 2012;272(1–2):253–68.
IEEE
[1]
H. De Ridder, H. De Schepper, and F. Sommen, “Fueter polynomials in discrete Clifford analysis,” MATHEMATISCHE ZEITSCHRIFT, vol. 272, no. 1–2, pp. 253–268, 2012.
@article{3079912,
  abstract     = {{Discrete Clifford analysis is a higher dimensional discrete function theory, based on skew Weyl relations. The basic notions are discrete monogenic functions, i.e. Clifford algebra valued functions in the kernel of a discrete Dirac operator. In this paper, we introduce the discrete Fueter polynomials, which form a basis of the space of discrete spherical monogenics, i.e. discrete monogenic, homogeneous polynomials. Their definition is based on a Cauchy-Kovalevskaya extension principle. We present the explicit construction for this discrete Fueter basis, in arbitrary dimension m and for arbitrary homogeneity degree k.}},
  author       = {{De Ridder, Hilde and De Schepper, Hennie and Sommen, Franciscus}},
  issn         = {{0025-5874}},
  journal      = {{MATHEMATISCHE ZEITSCHRIFT}},
  keywords     = {{Fueter polynomials,Discrete Clifford analysis}},
  language     = {{eng}},
  number       = {{1-2}},
  pages        = {{253--268}},
  title        = {{Fueter polynomials in discrete Clifford analysis}},
  url          = {{http://doi.org/10.1007/s00209-011-0932-5}},
  volume       = {{272}},
  year         = {{2012}},
}
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