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Annihilators 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 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:scopusGeneralized Moisil-Théodoresco systems and cauchy integral decompositions
ArticleAbstract: Let ℝ0,m+1(s) be the space of s-vectors (0 ≤ s ≤ m + 1) in the Clifford algebra ℝ0,m+1 constructed oPalabras claves:Autores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusDirichlet type problems in Hermitian Clifford analysis
ArticleAbstract: Solvability conditions for some Dirichlet type boundary value problems in the framework of HermitianPalabras claves:Boundary value and extension problems for solutions of partial differential equations, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Moreno García T., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusHarmonic multivector fields and the Cauchy integral decomposition in Clifford analysis
ArticleAbstract: In this paper we study the problem of decomposing a Hölder continuous k-grade multivector field Fk oPalabras claves:Cauchy transform, Clifford analysis, Multivector fieldsAutores:Delanghe R., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusHölder norm estimate for a Hilbert transform in Hermitean Clifford analysis
ArticleAbstract: A Hilbert transform for Hölder continuous circulant (2 × 2) matrix functions, on the d-summable (orPalabras claves:fractal geometry, Hermitean Clifford analysis, Hilbert TransformAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus