Fueter polynomials in discrete Clifford analysis |
| |
Authors: | H. De Ridder H. De Schepper F. Sommen |
| |
Affiliation: | 1. Clifford Research Group, Faculty of Engineering, Ghent University, Ghent, Belgium
|
| |
Abstract: | Discrete Clifford analysis is a higher dimensional discrete function theory, based on skew Weyl relations. The basic notions are discrete monogenic functions, i.e. Clifford algebra valued functions in the kernel of a discrete Dirac operator. In this paper, we introduce the discrete Fueter polynomials, which form a basis of the space of discrete spherical monogenics, i.e. discrete monogenic, homogeneous polynomials. Their definition is based on a Cauchy–Kovalevskaya extension principle. We present the explicit construction for this discrete Fueter basis, in arbitrary dimension m and for arbitrary homogeneity degree k. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|