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Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces
ArticleAbstract: In this note, based on a natural isomorphism between the spaces of differential forms and Clifford aPalabras claves:Clifford analysis, differential forms, Multi-vector fieldsAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusCompactness of embedding of generalized higher order Lipschitz classes
ArticleAbstract: In this paper sufficient conditions for continuous and compact embeddings of generalized higher ordePalabras claves:compactness, Embedding theorems, higher order Lipschitz classesAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.Fuentes:scopusComparing Harmonic and Inframonogenic Functions in Clifford Analysis
ArticleAbstract: Harmonic functions are the solutions of the second-order partial differential equation ∂x̲∂x̲u=0, whPalabras claves:Clifford analysis, harmonic functions, inframonogenic functionsAutores:García A.M., García T.M., Ricardo Abreu BlayaFuentes:scopusCompound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis
ArticleAbstract: The aim of this paper is the study of a class of compound boundary value problems for the homogeneouPalabras claves:Quaternionic analysis, Riemann Hilbert problemsAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.Fuentes:scopusBiquaternionic Reformulation of a Fractional Monochromatic Maxwell System
ArticleAbstract: In this work, we propose a biquaternionic reformulation of a fractional monochromatic Maxwell systemPalabras claves:Autores:Árciga Alejandre M.P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusBiregular 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:scopusBoundary value problems for Dirac operators and Maxwell's equations in fractal domains
ArticleAbstract: Some boundary value problems are solved for time-harmonic electromagnetic fields on fractal domains,Palabras claves:Electromagnetic fields, Fractals, Maxwell Equations, Quaternionic analysisAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusBoundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain
ArticleAbstract: A theory of quaternion-valued functions, called hyperholomorphic, of two real variables has long beePalabras claves:Boundary value problems, fractal geometry, Helmholtz equations, Quaternionic analysisAutores:Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopus