DISCRETE FUNCTION THEORY BASED ON SKEW WEYL RELATIONS

作者：De Rudder Hilde^*; De Schepper Hennie; Kaehler Uwe; Sommen Frank

来源：Proceedings of the American Mathematical Society, 2010, 138(9): 3241-3256.

• Discrete monogenic polynomial
• Fischer decomposition

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.

• 出版日期2010-9