Extension theorem for complex Clifford algebras-valued functions on fractal domains

DOI10.1155/2010/513186zbMath1196.30044OpenAlexW2019613980WikidataQ59249911 ScholiaQ59249911MaRDI QIDQ978481

Paul Bosch, Juan Bory-Reyes, Ricardo Abreu-Blaya

Publication date: 24 June 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228231

zbMATH Keywords

Clifford algebra-valued functiondomain with fractal boundary

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items

Some Generalized Clifford-Jacobi Polynomials and Associated Spheroidal Wavelets ⋮ New type of Gegenbauer-Jacobi-Hermite monogenic polynomials and associated continuous Clifford wavelet transform. Some monogenic Clifford polynomials and associated wavelets ⋮ Clifford wavelet transform and the uncertainty principle ⋮ New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets

Cites Work

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• Martinelli-Bochner formula using Clifford analysis
• The isotonic Cauchy transform
• Holomorphic extension theorems in Lipschitz domains of \({\mathbb{C}}^{2}\)
• A Martinelli-Bochner formula on fractal domains
• The Gauss-Green theorem for fractal boundaries
• Quaternionic analysis and elliptic boundary value problems
• A biregular extension theorem from a fractal surface in
• A bochner—martinelli formula for the biregular functions of clifford analysis
• Two hartogs theorems for nullsolutions of overdetermined systems in euclidean space
• Biregular extendability via isotonic Clifford analysis

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