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Boundary 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: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: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: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:scopusHermitean téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces
ArticleAbstract: We consider Hölder continuous circulant (2 × 2) matrix functions G 21 defined on the fractal boundarPalabras claves:Autores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu BlayaFuentes: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:scopusMatrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis
ArticleAbstract: Recently the basic setting has been established for the development of quaternionic Hermitian CliffoPalabras claves:Cauchy integral, Hilbert Transform, Quaternionic Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopus