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Zeitschrift für Analysis und ihre Anwendungen

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Volume 14, Issue 4, 1995, pp. 677–704
DOI: 10.4171/ZAA/647

Published online: 1995-12-31

Conformally Covariant Operators in Clifford Analysis

John Ryan[1]

(1) University of Arkansas, Fayetteville, USA

Following recent work of Peetre and Qian, the conformal covariance of convolution operators involving the fundamental solutions to iterates of the Dirac operator in Euclidean space is described using Vahlen matrices. This conformal covariance is applied to a number of problems, including Dirichlet problems over unbounded domains.

Keywords: Conformal group, Dirac operator, intertwining operators, Möbius transformation, left Clifford holomorphic functions

Ryan John: Conformally Covariant Operators in Clifford Analysis. Z. Anal. Anwend. 14 (1995), 677-704. doi: 10.4171/ZAA/647