A basic framework for discrete Clifford analysis
(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:
http://hdl.handle.net/1854/LU-969796
- author
- Hennie De Schepper UGent, Franciscus Sommen UGent and Liesbet Van de Voorde
- organization
- year
- 2009
- 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
- 2016-12-19 15:40:14
@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.