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Zeitschrift für Analysis und ihre Anwendungen

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Volume 21, Issue 1, 2002, pp. 27–55
DOI: 10.4171/ZAA/1064

Published online: 2002-03-31

Special First Order Systems in Clifford Analysis and Resolutions

Irene Sabadini[1] and Franciscus Sommen[2]

(1) Politecnico di Milano, Italy
(2) Universiteit Gent, Belgium

In this paper we present and discuss to some extent a number of first order systems of partial differential operators with constant coefficients which arise naturally within the language of Clifford analysis. We also present resolutions for certain examples.

Keywords: Abstract vector variables, monogenic functions of higher spin, matrix variables, combinatorial systems, resolutions, syzygies

Sabadini Irene, Sommen Franciscus: Special First Order Systems in Clifford Analysis and Resolutions. Z. Anal. Anwend. 21 (2002), 27-55. doi: 10.4171/ZAA/1064