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Currently displaying 1 – 9 of 9

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Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in ℝ²

Ricardo Blaya Abreu; Juan Reyes Bory — 2015

Annales Polonici Mathematici

This paper is concerned with jump conditions for the double layer potential associated with the two-dimensional Helmholtz equation for Hölder continuous boundary data on arbitrary rectifiable Jordan closed curves in ℝ².

Solvability of a Riemann linear conjugation problem on a fractal surface.

Ricardo Abreu Blaya; Juan Bory Reyes — 1998

Extracta Mathematicae

Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces

Ricardo Abreu Blaya; Juan Bory Reyes — 2014

Annales Polonici Mathematici

In this note, based on a natural isomorphism between the spaces of differential forms and Clifford algebra-valued multi-vector functions, the Cauchy type integral for self-conjugate differential forms in ℝⁿ is considered.

Generalized Moisil-Théodoresco systems and Cauchy integral decompositions.

Blaya, Ricardo Abreu; Bory Reyes, Juan; Delanghe, Richard; Sommen, Frank — 2008

International Journal of Mathematics and Mathematical Sciences

A boundary value problem for Hermitian monogenic functions.

Blaya, Ricardo Abreu; Reyes, Juan Bory; Peña, Dixan Peña; Sommen, Frank — 2008

Boundary Value Problems [electronic only]

Riemann boundary value problem for hyperanalytic functions.

Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan — 2005

International Journal of Mathematics and Mathematical Sciences

Extension theorem for complex Clifford algebras-valued functions on fractal domains.

Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Bosch, Paul — 2010

Boundary Value Problems [electronic only]

Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces.

Blaya, Ricardo Abreu; Reyes, Juan Bory; Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Peña, Dixan Peña; Sommen, Frank — 2008

Boundary Value Problems [electronic only]

Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces.

Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie — 2010

Boundary Value Problems [electronic only]

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