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Complex Analysis and Operator Theory(9)
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Mathematical Methods in the Applied Sciences(5)
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A Cauchy Integral Formula for Inframonogenic Functions in Clifford Analysis
ArticleAbstract: In this paper we derive a Cauchy integral representation formula for the solutions of the sandwich ePalabras claves:Cauchy integral formula, Clifford analysis, Dirac operatorAutores:García A.M., García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes: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 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 Martinelli-Bochner formula on fractal domains
ArticleAbstract: A new perspective on a Cauchy integral formula for Clifford algebras valued functions on domains witPalabras claves:Clifford analysis, Fractals, Martinelli-Bochner formulaAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA biregular extension theorem from a fractal surface in R<sup>2n</sup>
ArticleAbstract: The aim of this paper is to prove the characterization on a bounded domain of R2n with fractal boundPalabras claves:Biregular functions, Extension theorems, Fractals, Théodoresco transformAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes: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:scopusA holomorphic extension theorem from a fractal hypersurface in ℂ<sup>2</sup>
ArticleAbstract: We consider the problem of identifying boundary values of holomorphic functions on bounded domains iPalabras claves:CR-functions, Holomorphic functions, Quaternionic analysisAutores:Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA jump problem for β-analytic functions in domains with fractal boundaries
ArticleAbstract: Let γ be a simple closed Jordan curve in the complex plane ℂ, ω+ and ω- the corresponding domains inPalabras claves:-analytic functions, Fractals, jump problem, βAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusA property of the β-Cauchy-type integral with continuous density
ArticleAbstract: A theorem from the classical complex analysis proved by Davydov in 1949 is extended to the theory ofPalabras claves:Autores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusClifford 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:scopus