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Article(15)
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Complex Analysis and Operator Theory(5)
Journal of Mathematical Analysis and Applications(3)
Advances in Applied Clifford Algebras(2)
Acta Mathematica Sinica, English Series(1)
Boundary Value Problems(1)
Origen
scopus(15)
Biregular extendability via isotonic Clifford analysis
ArticleAbstract: We use the so-called isotonic functions to obtain extension theorems in the framework of biregular fPalabras claves:Biregular extension theorem, Clifford algebras, Isotonic functionsAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusBoundary Value Problems on Fractal Hypersurfaces for the Quaternionic Hermitian System in (Formula presented.)
ArticleAbstract: In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in (FormulPalabras claves:Boundary value problems, Fractal surfaces, Quaternionic Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Moreno García T., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusBoundary value problems associated to a Hermitian Helmholtz equation
ArticleAbstract: As is the case for the Laplace operator, in Euclidean Clifford analysis also the Helmholtz operatorPalabras claves:Boundary value problems, Helmholtz equations, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusAnnihilators for Harmonic Differential Forms Via Clifford Analysis
ArticleAbstract: In this paper we describe completely the annihilators of harmonic differential forms into the CliffoPalabras claves:Clifford analysis, duality theory, Harmonic formsAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Hermitian Cauchy formula on a domain with fractal boundary
ArticleAbstract: Euclidean Clifford analysis is a higher dimensional function theory offering a refinement of classicPalabras claves:Cauchy integral, fractal geometry, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Hilbert Transform for Matrix Functions on Fractal Domains
ArticleAbstract: We consider Hölder continuous circulant (2 × 2) matrix functions G 21 defined on the fractal boundarPalabras claves:Cauchy integral, fractal geometry, Hermitian Clifford analysis, Hilbert TransformAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA Holomorphic Extension Theorem using Clifford Analysis
ArticleAbstract: In this paper a new holomorphic extension theorem is presented using Clifford analysis. © 2009 BirkhPalabras claves:Clifford analysis, Holomorphic extension, Isotonic functionsAutores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA boundary value problem for hermitian monogenic functions
ArticleAbstract: We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurPalabras claves:Autores:Peña-Peña D., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusCauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis
ArticleAbstract: The theory of complex Hermitean Clifford analysis was developed recently as a refinement of EuclideaPalabras claves:Cauchy integral formula, Quaternionic Hermitean Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusDuality for Hermitean Systems in ℝ <sup>2n</sup>
ArticleAbstract: In this paper, using the ring structure of the space of circulant (2 × 2)-matrix, we characterize thPalabras claves:duality theory, Hermitean Clifford analysisAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus