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A basic framework for discrete Clifford analysis

(2009) EXPERIMENTAL MATHEMATICS. 18(4). p.385-395
Author
Organization
Abstract
A basic framework is derived for the development of a higher-dimensional discrete function theory in a Clifford algebra context. The concept of a discrete monogenic function is introduced as a proper generalization of the discrete holomorphic, or monodiffric, functions introduced by Isaacs in the 1950s. A concrete model is provided for the definition of the corresponding discrete Dirac operator.
Keywords
DIRAC OPERATORS, Clifford analysis, discrete Dirac operator, discrete monogenic function

Citation

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Chicago
De Schepper, Hennie, Franciscus Sommen, and Liesbet Van de Voorde. 2009. “A Basic Framework for Discrete Clifford Analysis.” Experimental Mathematics 18 (4): 385–395.
APA
De Schepper, Hennie, Sommen, F., & Van de Voorde, L. (2009). A basic framework for discrete Clifford analysis. EXPERIMENTAL MATHEMATICS, 18(4), 385–395.
Vancouver
1.
De Schepper H, Sommen F, Van de Voorde L. A basic framework for discrete Clifford analysis. EXPERIMENTAL MATHEMATICS. 2009;18(4):385–95.
MLA
De Schepper, Hennie, Franciscus Sommen, and Liesbet Van de Voorde. “A Basic Framework for Discrete Clifford Analysis.” EXPERIMENTAL MATHEMATICS 18.4 (2009): 385–395. Print.
@article{969796,
  abstract     = {A basic framework is derived for the development of a higher-dimensional discrete function theory in a Clifford algebra context. The concept of a discrete monogenic function is introduced as a proper generalization of the discrete holomorphic, or monodiffric, functions introduced by Isaacs in the 1950s. A concrete model is provided for the definition of the corresponding discrete Dirac operator.},
  author       = {De Schepper, Hennie and Sommen, Franciscus and Van de Voorde, Liesbet},
  issn         = {1058-6458},
  journal      = {EXPERIMENTAL MATHEMATICS},
  keyword      = {DIRAC OPERATORS,Clifford analysis,discrete Dirac operator,discrete monogenic function},
  language     = {eng},
  number       = {4},
  pages        = {385--395},
  title        = {A basic framework for discrete Clifford analysis},
  volume       = {18},
  year         = {2009},
}

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