Title
On the harmonic and monogenic decomposition of polynomials
Abstract
The decomposition of polynomials in terms of spherical harmonics is widely used in various branches of analysis. In this paper we describe a set of REDUCE procedures generating this decomposition and its more general, monogenic, counterpart in Clifford analysis. We then illustrate their use by inverting the Laplacian and the Dirac operator on both Euclidean and Minkowski spaces.
Year
DOI
Venue
1989
10.1016/S0747-7171(89)80071-9
J. Symb. Comput.
Keywords
DocType
Volume
Clifford analysis,REDUCE procedure,spherical harmonic,Dirac operator,monogenic decomposition,Minkowski space,various branch
Journal
8
Issue
ISSN
Citations 
3
Journal of Symbolic Computation
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
F. Brackx121.61
D. Constales211.64
A. RONVEAUX3249.81
H. Serras400.68