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Complex Analysis and Operator Theory(2)
Mathematical Methods in the Applied Sciences(2)
Advances in Applied Clifford Algebras(1)
Analysis and Mathematical Physics(1)
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A 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: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:scopusApproximate dimension applied to criteria for monogenicity on fractal domains
ArticleAbstract: Suppose that Ω is a bounded domain of ℝn with a fractal boundary Γ and let ℝ0,n be the real CliffordPalabras claves:Clifford analysis, Fractals, jump problemAutores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusHartogs extension theorem for functions with values in complex clifford algebras
ArticleAbstract: A regular extension phenomenon of functions defined on Euclidean space with values in a Clifford algPalabras claves:Clifford analysis, Hartogs extension theoremAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusExtension theorem for complex clifford algebras-valued functions on fractal domains
ArticleAbstract: Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain withPalabras claves:Autores:Bosch P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusInequalities on the generalized atom bond connectivity index
ArticleAbstract: The atom-bond connectivity and the generalized atom-bond connectivity indices have shown to be usefuPalabras claves:Atom-bond connectivity index, Degree-based topological indices, Generalized atom-bond connectivity indexAutores:Reyes R., Ricardo Abreu Blaya, Rodríguez J.M., Sigarreta J.M.Fuentes:scopusInframonogenic decomposition of higher-order Lipschitz functions
ArticleAbstract: Euclidean Clifford analysis has become a well-established theory of monogenic functions in higher-diPalabras claves:Clifford analysis, higher-order Lipschitz class, inframonogenic functionsAutores:Moreno García A., Reyes J.B., Ricardo Abreu Blaya, Santiesteban D.A.Fuentes:scopusRiemann problem for bianalytic functions on h-summable curves
ArticleAbstract: This paper is concerned with the Riemann problem for bianalytic functions on a closed Jordan curve wPalabras claves:30E25, Bianalytic functions, Fractals, Riemann problemAutores:De la Cruz M.P.C., Ricardo Abreu Blaya, Sánchez Santiesteban J.L., Sigarreta-Almira J.M.Fuentes:scopusOn Ostrowski Type Inequalities for Generalized Integral Operators
ArticleAbstract: It is well known that mathematical inequalities have played a very important role in solving both thPalabras claves:Autores:Bosch P., Cruz M.P., Ricardo Abreu Blaya, Rodríguez J.M., Sigarreta J.M.Fuentes:scopusOn the Hilbert formulas and of change of integration order for some singular integrals in the unit circle
ArticleAbstract: We obtain some analogues of the Hilbert formulas on the unit circle for α-hyperholomorphic functionPalabras claves:Hilbert formulas, Poincaré-Bertrand formulasAutores:Pérez-de la Rosa M.A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes:scopus