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.
"A Basic Framework for Discrete Clifford Analysis." Experiment. Math. 18 (4) 385 - 395, 2009.