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A basic framework for discrete Clifford analysis

Hennie De Schepper UGent, Franciscus Sommen UGent and Liesbet Van de Voorde UGent (2009) EXPERIMENTAL MATHEMATICS. 18(4). p.385-395
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.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
DIRAC OPERATORS, Clifford analysis, discrete Dirac operator, discrete monogenic function
journal title
EXPERIMENTAL MATHEMATICS
Exp. Math.
volume
18
issue
4
pages
385 - 395
Web of Science type
Article
Web of Science id
000272667500001
JCR category
MATHEMATICS
JCR impact factor
0.545 (2009)
JCR rank
160/251 (2009)
JCR quartile
3 (2009)
ISSN
1058-6458
language
English
UGent publication?
yes
classification
A1
id
969796
handle
http://hdl.handle.net/1854/LU-969796
date created
2010-06-04 09:11:51
date last changed
2010-10-04 16:11:30
@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},
}

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.