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Zeitschrift für Analysis und ihre Anwendungen


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Volume 9, Issue 5, 1990, pp. 385–401
DOI: 10.4171/ZAA/410

Published online: 1990-10-31

Iterated Dirac Operators in $\mathbb C^n$

John Ryan[1]

(1) University of Arkansas, Fayetteville, USA

We give a clssification of linear, conformally invariant, Clifford algebra valued differential operators over $\mathbb C^n$. Such operators comprise of the Dirac operator and its iterates. We show that the function theory, associated to the Dirac operator in $\mathbb R^n$ and $\mathbb C^n$ can be generalized to all these operators.

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Ryan John: Iterated Dirac Operators in $\mathbb C^n$. Z. Anal. Anwend. 9 (1990), 385-401. doi: 10.4171/ZAA/410