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
In this paper we develop a plane system of first-order differential equations, describing nullsoluti...
In the framework of Clifford analysis a chain of harmonic and monogenic potentials is constructed in...
Euclidean Clifford analysis is a higher dimensional function theory studying so--called monogenic fu...
The decomposition of polynomials in terms of spherical harmonics is widely used in various branches ...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Euclidean Clifford analysis is a higher dimensional function theory studying so--called monogenic fu...
Hermitean Clifford analysis is a recent branch of Clifford analysis, refining the standard Euclidean...
Hermitean Clifford analysis is a recent branch of Clifford analysis, refining the standard Euclidean...
summary:Euclidean Clifford analysis is a higher dimensional function theory studying so–called monog...
Spherical monogenics were studied from the very beginning of Clifford analysis (see [2]) and a lot o...
Spherical monogenics were studied from the very beginning of Clifford analysis (see [2]) and a lot o...
Spherical monogenics were studied from the very beginning of Clifford analysis (see [2]) and a lot o...
Euclidean Clifford analysis is a higher dimensional function theory studying so--called monogenic fu...
In this paper we develop a plane system of first-order differential equations, describing nullsoluti...
In the framework of Clifford analysis a chain of harmonic and monogenic potentials is constructed in...
Euclidean Clifford analysis is a higher dimensional function theory studying so--called monogenic fu...
The decomposition of polynomials in terms of spherical harmonics is widely used in various branches ...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Euclidean Clifford analysis is a higher dimensional function theory studying so--called monogenic fu...
Hermitean Clifford analysis is a recent branch of Clifford analysis, refining the standard Euclidean...
Hermitean Clifford analysis is a recent branch of Clifford analysis, refining the standard Euclidean...
summary:Euclidean Clifford analysis is a higher dimensional function theory studying so–called monog...
Spherical monogenics were studied from the very beginning of Clifford analysis (see [2]) and a lot o...
Spherical monogenics were studied from the very beginning of Clifford analysis (see [2]) and a lot o...
Spherical monogenics were studied from the very beginning of Clifford analysis (see [2]) and a lot o...
Euclidean Clifford analysis is a higher dimensional function theory studying so--called monogenic fu...
In this paper we develop a plane system of first-order differential equations, describing nullsoluti...
In the framework of Clifford analysis a chain of harmonic and monogenic potentials is constructed in...
Euclidean Clifford analysis is a higher dimensional function theory studying so--called monogenic fu...
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