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Harmonic multivector fields and the Cauchy integral decomposition in Clifford analysis

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Publication:1766243
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zbMath1063.30045MaRDI QIDQ1766243

Richard Delanghe, Ricardo Abreu-Blaya, Juan Bory-Reyes, Fransiscus Sommen

Publication date: 28 February 2005

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)


zbMATH Keywords

Clifford analysisharmonic vector fieldsCauchy integral decomposition


Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)


Related Items (5)

Annihilators for harmonic differential forms via Clifford analysis ⋮ Generalized Moisil-Théodoresco systems and Cauchy integral decompositions ⋮ Singular integral operators and a \(\overline{\partial}\)-problem for \((\varphi, \psi)\)-harmonic functions ⋮ Cauchy transform and rectifiability in Clifford analysis ⋮ Cauchy integral decomposition of multi-vector valued functions on hypersurfaces




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