Discrete function theory based on skew Weyl relations.

In this paper we construct the main ingredients of a discrete function theory in higher dimensions by means of a new ``skew'' type of Weyl relations. We will show that this new type overcomes the difficulties of working with standard Weyl relations in the discrete case. A Fischer decomposition, Euler operator, monogenic projection, and basic homogeneous powers will be constructed. [ABSTRACT FROM AUTHOR]