Ricardo Abreu-Blaya

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Produções bibliográficas

• Abreu-Blaya, R. ; Bory-Reyes, J. ; KATS, B. A. . On the solvability of the jump problem in clifford analysis. Journal of Mathematical Sciences (New York, N.Y.) , v. 189, p. 1-9, 2013.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; BRACKX, FRED ; DE SCHEPPER, HENNIE ; Sommen, Frank . Boundary value problems associated to a Hermitian Helmholtz equation. Journal of Mathematical Analysis and Applications (Print) , v. 389, p. 1268-1279, 2012.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; BRACKX, FRED ; SCHEPPER, HENNIE ; Sommen, Frank . Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis. Acta Mathematica Sinica. English Series (Print) , v. 28, p. 2289-2300, 2012.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; DELANGHE, RICHARD ; Sommen, Frank . Duality for Hermitean Systems in $${mathbb R^{2n}}$$. COMPLEX ANAL OPER TH , v. 6, p. 341-357, 2012.

• Abreu-Blaya, R. ; Bory-Reyes, J. ; BRACKX, F. ; DE SCHEPPER, H. ; SOMMEN, F. . A Hilbert Transform for Matrix Functions on Fractal Domains. COMPLEX ANAL OPER TH , v. 6, p. 359-372, 2012.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; BRACKX, FRED ; DE SCHEPPER, HENNIE ; Sommen, Frank . Cauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis. COMPLEX ANAL OPER TH , v. 6, p. 971-985, 2012.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; BRACKX, FRED ; DE SCHEPPER, HENNIE ; Sommen, Frank . Boundary value problems for the quaternionic Hermitian system in R4n. BOUND VALUE PROBL , v. 2012, p. 74, 2012.

• Blaya, Ricardo Abreu ; Bory-Reyes, J. . The Plemelj-Privalov Theorem in variable exponent Clifford Analysis. Georgian Mathematical Journal , v. 19, p. 401, 2012.

• Abreu Blaya, Ricardo ; Bory Reyes, Juan ; GUZMÁN ADÁN, ALÍ ; SCHNEIDER, BARUCH . Boundary value problems for the Cimmino system via quaternionic analysis. Applied Mathematics and Computation , v. 219, p. 3872-3881, 2012.

• Abreu Blaya, Ricardo ; Bory Reyes, Juan ; Moreno García, Tania . A biregular extension theorem from fractal surface in ${\mathbb R}2n}$. Georgian Mathematical Journal , v. 18, p. 21, 2012.

• Abreu Blaya, Ricardo ; Bory Reyes, Juan ; Peña Peña, Dixan ; Sommen, Frank . A Holomorphic Extension Theorem using Clifford Analysis. COMPLEX ANAL OPER TH , v. 5, p. 113-130, 2011.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; KATS, BORIS A. . Integration over non-rectifiable curves and Riemann boundary value problems. Journal of Mathematical Analysis and Applications (Print) , v. 380, p. 177-187, 2011.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan . $${overline{partial}}$$ -problem for an overdetermined system with two higher dimensional variables. Archiv der Mathematik (Electronic ed.) , v. 97, p. 579-586, 2011.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; DELANGHE, RICHARD ; Sommen, Frank . Annihilators for Harmonic Differential Forms Via Clifford Analysis. Advances in Applied Clifford Algebras , v. 21, p. 443-454, 2011.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; Vilaire, Jean-Marie . Hyperanalytic Riemann boundary value problem on d-summable closed curves. Journal of Mathematical Analysis and Applications (Print) , v. 361, p. 579-586, 2010.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; Vilaire, Jean-Marie . A jump problem for ?-analytic functions in domains with fractal boundaries. Revista Matemática Complutense , v. 23, p. 105-111, 2010.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan . Hölder norm estimate for the Hilbert transform in Clifford analysis. Bulletin Brazilian Mathematical Society (Online) , v. 41, p. 389-398, 2010.

• Abreu-Blaya, R. ; Bory-Reyes, J. ; BRACKX, F. ; DE SCHEPPER, H. ; SOMMEN, F. . A Hermitian Cauchy formula on a domain with fractal boundary. Journal of Mathematical Analysis and Applications (Print) , v. 369, p. 273-282, 2010.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan . Criteria for monogenicity of Clifford algebra-valued functions on fractal domains. Archiv der Mathematik (Electronic ed.) , v. 95, p. 45-51, 2010.

• Blaya, Ricardo Abreu ; PEÃ A, DIXAN PEÃ A ; Reyes, Juan Bory ; Sommen, Frank . Holomorphic Extension Theorems in Lipschitz Domains of $${mathbb{C}}^{2}$$. Advances in Applied Clifford Algebras , v. 20, p. 1-12, 2010.

• Abreu-Blaya, Ricardo ; BOSCH, PAUL ; Bory-Reyes, Juan . Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains. BOUND VALUE PROBL , v. 2010, p. 1-9, 2010.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; BRACKX, FRED ; DE SCHEPPER, HENNIE . Hermitean Téodorescu Transform Decomposition of Continuous Matrix Functions on Fractal Hypersurfaces. BOUND VALUE PROBL , v. 2010, p. 791358, 2010.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; Vilaire, Jean-Marie . On the Compactness of the Hypercomplex Commutator in Hölder Continuous Functions Spaces. Complex Analysis and Operator Theory , v. 4, p. 133-143, 2010.

• BLAYA, R. A. ; Moreno García, Tania . The Plemelj Privalov theorem in Clifford analysis. Comptes Rendus. Mathématique , v. 347, p. 223-226, 2009.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; Peña, Dixan Peña ; Sommen, Frank . Biregular extendability via isotonic Clifford analysis. Mathematical Methods in the Applied Sciences , p. n/a-n/a, 2009.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan . A Martinelli-Bochner formula on fractal domains. Archiv der Mathematik (Printed ed.) , v. 92, p. 335-343, 2009.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; GARCÍA, TANIA MORENO . Hermitian decomposition of continuous functions on a fractal surface. Bulletin Brazilian Mathematical Society (Online) , v. 40, p. 107-115, 2009.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; Vilaire, Jean-Marie . Hypercomplex singular integral equation reduces to two Riemann problems. CompleX Variables and Elliptic Equations (Online) , v. 54, p. 1065-1072, 2009.

• Abreu-Blaya, R. ; Bory-Reyes, J. ; Moreno-García, T. . Cauchy transform on nonrectifiable surfaces in Clifford analysis. Journal of Mathematical Analysis and Applications (Print) , v. 339, p. 31-44, 2008.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory . Hartogs Extension Theorem for Functions with Values in Complex Clifford Algebras. Advances in Applied Clifford Algebras , v. 18, p. 147-151, 2008.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; PEÑA-PEÑA, DIXAN . The Bochner Martinelli transform with a continuous density: Davydov's theorem. Integral Transforms and Special Functions , v. 19, p. 613-620, 2008.

• Abreu Blaya, R. ; BORY REYES, J. . A property of the -Cauchy-type integral with continuous density. Ukrainian Mathematical Journal , v. 60, p. 1683-1690, 2008.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; BRACKX, FRED ; DE KNOCK, BRAM ; DE SCHEPPER, HENNIE ; Peña, Dixan Peña ; Sommen, Frank . Hermitean Cauchy Integral Decomposition of Continuous Functions on Hypersurfaces. BOUND VALUE PROBL , v. 2008, p. 1-16, 2008.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; Peña, Dixan Peña ; Sommen, Frank . A Boundary Value Problem for Hermitian Monogenic Functions. BOUND VALUE PROBL , v. 2008, p. 1-7, 2008.

• Abreu Blaya, Ricardo ; Bory Reyes, Juan ; DELANGHE, RICHARD ; Sommen, Frank . Generalized Moisil-Théodoresco Systems and Cauchy Integral Decompositions. International Journal of Mathematics and Mathematical Sciences , v. 2008, p. 1-19, 2008.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; PEÑA-PEÑA, DIXAN . Jump problem and removable singularities for monogenic functions. The Journal of Geometric Analysis , v. 17, p. 1-13, 2007.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; Peña, Dixan Peña ; Sommen, Frank . The Isotonic Cauchy Transform. Advances in Applied Clifford Algebras , v. 17, p. 145-152, 2007.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; DELANGHE, RICHARD ; Sommen, Frank . Duality for Harmonic Differential Forms Via Clifford Analysis. Advances in Applied Clifford Algebras , v. 17, p. 589-610, 2007.

• Abreu Blaya, Ricardo ; Bory Reyes, Juan ; Moreno García, Tania . A holomorphic extension theorem from a fractal hypersurface in 2. Bulletin Brazilian Mathematical Society (Online) , v. 38, p. 635-647, 2007.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; GARCÍA, TANIA MORENO . Minkowski Dimension and Cauchy Transform in Clifford Analysis. COMPLEX ANAL OPER TH , v. 1, p. 301-305, 2007.

• Abreu-Blaya, Ricardo . The Cauchy transform for the Hodge/deRham system and some of its properties. Georgian Mathematical Journal , v. 14, p. 1-20, 2007.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; SHAPIRO, MICHAEL . On the Notion of the Bochner-Martinelli Integral for Domains with Rectifiable Boundary. Complex Analysis and Operator Theory , v. 1, p. 143-168, 2007.

• Abreu-Blaya, R. ; Bory-Reyes, J. ; SHAPIRO, M. . On the Laplacian vector fields theory in domains with rectifiable boundary. Mathematical Methods in the Applied Sciences (Online) , v. 29, p. 1861-1881, 2006.

• Abreu-Blaya, R. ; Bory-Reyes, J. ; Moreno-García, T. ; PEÑA-PEÑA, D. . Weighted Cauchy transforms in Clifford analysis. CompleX Variables and Elliptic Equations (Online) , v. 51, p. 397-406, 2006.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; Peña, Dixan Peña . On the jump problem for β-analytic functions. CompleX Variables and Elliptic Equations (Online) , v. 51, p. 763-775, 2006.

• Abreu-Blaya, Ricardo ; Bory-Reyes, Juan ; GERUS, OLEG F. ; SHAPIRO, MICHAEL . The Clifford-Cauchy transform with a continuous density: N. Davydov's theorem. Mathematical Methods in the Applied Sciences (Online) , v. 28, p. 811-825, 2005.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory . Commutators and singular integral operators in Clifford analysis. CompleX Variables, Theory & Application (Print) , v. 50, p. 265-281, 2005.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory ; Peña, Dixan Peña . Riemann boundary value problem for hyperanalytic functions. International Journal of Mathematics and Mathematical Sciences , v. 2005, p. 2821-2840, 2005.

• Abreu-Blaya, Ricardo . Harmonic multivector fields and the Cauchy integral decomposition in Clifford analysis. Bulletin of the Belgian Mathematical Society Simon Stevin , v. 11, p. 95, 2004.

• Reyes, Juan Bory ; Blaya, Ricardo Abreu . One-dimensional Singular Integral Equations. CompleX Variables and Elliptic Equations (Print) , v. 48, p. 483-493, 2003.

• Blaya, Ricardo Abreu ; PENA, DIXAN PENA ; Reyes, Juan Bory . Conjugate hyperharmonic functions and cauchy type integrals in douglis analysis. CompleX Variables and Elliptic Equations (Print) , v. 48, p. 1023-1039, 2003.

• Reyes, Juan Bory ; Abreu Blaya, Ricardo . Weighted singular integral operators in Clifford analysis. Mathematical Methods in the Applied Sciences (Online) , v. 25, p. 1429-1440, 2002.

• Reyes, Juan Bory ; Blaya, Ricardo Abreu . The quaternionic riemann problem with a natural geometric condition on the boundary. CompleX Variables and Elliptic Equations (Print) , v. 42, p. 135-149, 2000.

• Blaya, Ricardo Abreu ; Reyes, Juan Bory . Boundary value problems for quaternionic monogenic functions on non-smooth sureaces. Advances in Applied Clifford Algebras , v. 9, p. 1-22, 1999.

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