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- aggregation classification "A2".
- aggregation creator person.
- aggregation date "2010".
- aggregation format "application/pdf".
- aggregation hasFormat 1156857.bibtex.
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- aggregation isPartOf urn:issn:0716-7776.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space".
- aggregation abstract "Let for s ∈ {0, 1, ...,m+ 1} (m ≥ 2) , R(s)_0,m+1 be the space of s-vectors in the Clifford algebra R_0,m+1 constructed over the quadratic vector space R^0,m+1 and let r, p, q, ∈ N be such that 0 ≤ r ≤ m + 1, p < q and r + 2q ≤ m + 1. The associated linear system of first order partial differential equations derived from the equation ∂W = 0 where W is R^(r,p,q)_0,m+1 valued and ∂ is the Dirac operator in R^m+1, is called a generalized Moisil-Theodoresco system of type (r, p, q) in Rm+1. For k ∈ N, k ≥ 1,MT+(m+1; k; R(r,p,q)_0,m+1), denotes the space of R(r,p,q)_0,m+1-valued homogeneous polynomials W_k of degree k in R^m+1 satisfying ∂W_k = 0. A characterization of W_k ∈ MT is given in terms of a harmonic potential H_k+1 belonging to a subclass of R(r,p,q)_0,m -valued solid harmonics of degree (k + 1) in Rm+1. Furthermore, it is proved that each W_k ∈MT admits a primitive W_k+1. Special attention is paid to the lower dimensional cases R3 and R4. In particular, a method is developed for constructing bases for the spaces MT, for even r.".
- aggregation authorList BK497045.
- aggregation endPage "167".
- aggregation issue "2".
- aggregation startPage "145".
- aggregation volume "12".
- aggregation aggregates 1156890.
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