A Basic Framework for Discrete Clifford Analysis
Hennie De Schepper, Frank Sommen, and Liesbet Van de Voorde
Source: Experiment. Math. Volume 18, Issue 4
(2009), 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.
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Experimental Mathematics
