- Author
- Hennie De Schepper (UGent) , Franciscus Sommen (UGent) and Liesbet Van de Voorde (UGent)
- 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
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-969796
- 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},
language = {eng},
number = {4},
pages = {385--395},
title = {A basic framework for discrete Clifford analysis},
volume = {18},
year = {2009},
}