Criteria for monogenicity of Clifford algebra-valued functions on fractal domains

DOI10.1007/s00013-010-0140-2zbMath1206.30063OpenAlexW2022180956MaRDI QIDQ707959

Ricardo Abreu-Blaya, Juan Bory-Reyes

Publication date: 8 October 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0140-2

zbMATH Keywords

Cauchy transformClifford analysisCauchy-Riemann operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fractals (28A80)

Related Items (3)

Generalized Laplacian decomposition of vector fields on fractal surfaces ⋮ Approximate dimension applied to criteria for monogenicity on fractal domains ⋮ On Riemann boundary-value problem for regular functions in Clifford algebras

Cites Work

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• Martinelli-Bochner formula using Clifford analysis
• A Martinelli-Bochner formula on fractal domains
• Hardy spaces, singular integrals and the geometry of Euclidean domains of locally finite perimeter
• The Gauss-Green theorem for fractal boundaries
• Minkowski dimension and Cauchy transform in Clifford analysis
• Cauchy transform on nonrectifiable surfaces in Clifford analysis
• The Realization of small Distances in Plane Sets of Positive Measure
• On the interplay between the Hilbert transform and conjugate harmonic functions

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