J Austral Math Soc Ser A 48 pp413--433, 1990.

Complex Clifford Analysis and Domains of Holomorphy

John Ryan

(Received 8 December 1988)

Abstract

Integrals related to Cauchy's integral formula and Huygens' principle are used to establish a link between domains of holomorphy in n complex variables and cells of harmonicity in one higher dimension. These integrals enable us to determine domains to which analytic functions on real analytic surfaces in Rⁿ⁺¹ may be extended to solutions to a Dirac equation.

1980 AMS Subject Classification (1985 Revision): primary 30G35, 32D05; secondary 32D10, 32D15

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Authors

John Ryan: Department of Pure Mathematics, University of Sydney, Sydney, N.S.W. 2006, Australia.

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Last Modified: Wed Feb 19 10:27:51 2003