Cauchy integral decomposition of multi-vector valued functions on hypersurfaces

DOI10.1007/BF03321089zbMath1089.30047OpenAlexW1974301494MaRDI QIDQ816255

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

Publication date: 10 March 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321089

zbMATH Keywords

Hilbert transformCauchy transformClifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items

Generalized Moisil-Théodoresco systems and Cauchy integral decompositions ⋮ Laplacian decomposition of vector fields on fractal surfaces ⋮ Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces ⋮ On the Laplacian vector fields theory in domains with rectifiable boundary

Cites Work

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• On the theory of harmonic functions of several variables
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• Harmonic multivector fields and the Cauchy integral decomposition in Clifford analysis
• Cauchy integral decomposition for harmonic vector fields