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Advances in Applied Clifford Algebras(1)
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Complex Analysis and Operator Theory(1)
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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 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: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:scopusHermitian decomposition of continuous functions on a fractal surface
ArticleAbstract: In this paper the Théodoresco transform is used to show that, under additional assumptions, each HölPalabras claves:fractal geometry, Hermitian Clifford analysis, Théodoreco transformAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusMinkowski dimension and cauchy transform in Clifford analysis
ArticleAbstract: In the present paper we provide some conditions of a geometrical character for continuous extendibilPalabras claves:Cauchy transform, Clifford analysis, Geometric measure theoryAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusThe sharpness of condition for solving the jump problem
ArticleAbstract: Let γ be a non-rectifiable closed Jordan curve in C, which is merely assumed to be d-summable (1 < dPalabras claves:Analytic functions, Cauchy integral, Fractional dimension, jump problem, Non-rectifiable curveAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus