A Basic Framework for Discrete Clifford Analysis
De Schepper, Hennie ; Sommen, Frank ; Van de Voorde, Liesbet
Experiment. Math., Tome 18 (2009) no. 1, p. 385-395 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2009-05-15
Classification:  Clifford analysis,  discrete Dirac operator,  discrete monogenic function,  30G35 
@article{1259158504,
     author = {De Schepper, Hennie and Sommen, Frank and Van de Voorde, Liesbet},
     title = {A Basic Framework for Discrete Clifford Analysis},
     journal = {Experiment. Math.},
     volume = {18},
     number = {1},
     year = {2009},
     pages = { 385-395},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1259158504}
}

De Schepper, Hennie; Sommen, Frank; Van de Voorde, Liesbet. A Basic Framework for Discrete Clifford Analysis. Experiment. Math., Tome 18 (2009) no. 1, pp.  385-395. http://gdmltest.u-ga.fr/item/1259158504/