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Complex Clifford analysis and domains of holomorphy

Part of: Genetics and population dynamics Generalized function theory Analytic continuation

Published online by Cambridge University Press:  09 April 2009

John Ryan
John Ryan
Affiliation:
Department of Pure Mathematics University of SydneySydney, N.S.W. 2006, Australia
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Abstract

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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 surface in Rn+1 may be extended to solutions to a Dirac equation.

MSC classification

Secondary: 30G35: Functions of hypercomplex variables and generalized variables 32D05: Domains of holomorphy 32D10: Envelopes of holomorphy 32D15: Continuation of analytic objects
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 3 , June 1990 , pp. 413 - 433
Copyright
Copyright © Australian Mathematical Society 1990

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