Edit Profile (opens in new tab) Bory Reyes, Juan Co-Author Distance Author ID: bory-reyes.juan Published as: Bory Reyes, Juan; Bory-Reyes, Juan; Reyes, Juan Bory; Bory-Reyes, J.; Bory Reyes, J.; Morena García, Tania more...less External Links: MGP · ORCID · Wikidata · ResearchGate Documents Indexed: 197 Publications since 1985, including 8 Additional arXiv Preprints Reviewing Activity: 31 Reviews Co-Authors: 63 Co-Authors with 190 Joint Publications 423 Co-Co-Authors all top 5 Co-Authors 6 single-authored 131 Abreu-Blaya, Ricardo 28 Sommen, Franciscus 21 Peña Peña, Dixan 18 Moreno García, Tania 14 González-Cervantes, José Óscar 14 Schneider, Baruch 13 De Schepper, Hennie 13 Pérez-de La Rosa, Marco Antonio 11 Brackx, Fred F. 10 Shapiro, Michael V. 9 Adán, Alí Guzmán 9 Delanghe, Richard 7 Vilaire, Jean-Marie 6 Moreno García, Arsenio 6 Peña Pérez, Yudier 5 De la Cruz-Toranzo, Lianet 5 Kähler, Uwe 5 Kats, Boris Aleksandrovich 5 Tamayo Castro, Carlos Daniel 5 Téllez-Sánchez, Gamaliel Yafte 4 Ávila-Ávila, Rafael 4 Hernández-Simón, Luis Manuel 4 Ramirez-Arellano, Aldo 4 Rodríguez-Dagnino, Ramón Martín 4 Sigarreta Almira, José María 3 Árciga Alejandre, Martín Patricio 3 Barseghyan, Diana 3 Bergues Cabrales, Luis Enrique 3 González-Campos, Daniel 3 González Diéguez, Belarmino 2 Balankin, Alexander S. 2 Bosch, Paul J. 2 Camué Ciria, Héctor Manuel 2 Gómez Santiesteban, Tania Rosa 2 González Ávila, Marisela 2 Gutiérrez-Hernández, Sebastián 2 Luna-Elizarrarás, María Elena 2 O’Farril Mateus, Miguel Angel 2 Placeres Jiménez, Rolando 2 Ramírez Aguilera, Andrés 2 Sabadini, Irene 2 Santiesteban, Daniel Alfonso 2 Serrano Ricardo, José Luis 2 Suárez Palencia, Fabiola 2 Verdecia Jarque, Manuel 1 Arroyo-Sánchez, Dante 1 Bermúdez-Gómez, Salvador 1 Cerejeiras, Paula 1 Cervantes, José Oscar González. 1 De Knock, Bram 1 Gerus, Oleg F. 1 Herrera-Peláez, Marcos Antonio 1 Katz, David B. 1 Malonek, Helmuth Robert 1 Martínez Tassé, José Pablo 1 Morales-Amaya, Efrén 1 Morales González, Maraelys 1 Paulino-Basurto, Isidro 1 Pérez-Regalado, Cesar Octavio 1 Pupo, Ana Elisa Bergues 1 Ramírez-Belman, Juan Adrián 1 Ramírez-Leyva, Yulieth 1 Sánchez-Ortiz, Jorge 1 Soba, Alejandro 1 Suárez, Cecilia all top 5 Serials 17 Mathematical Methods in the Applied Sciences 17 Advances in Applied Clifford Algebras 16 Complex Analysis and Operator Theory 15 Journal of Mathematical Analysis and Applications 12 Revista Ciencias Matemáticas 8 Fractals 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Mediterranean Journal of Mathematics 6 Complex Variables and Elliptic Equations 6 Analysis and Mathematical Physics 5 Applied Mathematics and Computation 5 Boundary Value Problems 4 Complex Variables. Theory and Application 4 Georgian Mathematical Journal 3 Chaos, Solitons and Fractals 3 Annales Polonici Mathematici 3 Archiv der Mathematik 3 Mathematics and Computers in Simulation 3 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Computational Methods and Function Theory 2 International Journal of Mathematics and Mathematical Sciences 2 The Journal of Geometric Analysis 2 Journal of Natural Geometry 2 Integral Transforms and Special Functions 2 Acta Mathematica Sinica. English Series 2 International Journal of Pure and Applied Mathematics 2 Communications in Mathematical Analysis 1 Physica A 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Zeitschrift für Analysis und ihre Anwendungen 1 Extracta Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Inequalities and Applications 1 Chaos 1 Revista Matemática Complutense 1 Proceedings of A. Razmadze Mathematical Institute 1 Lobachevskii Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Analysis and Applications 1 Advances in High Energy Physics 1 Advances in Mathematical Physics 1 Communications in Mathematics all top 5 Fields 171 Functions of a complex variable (30-XX) 21 Partial differential equations (35-XX) 18 Several complex variables and analytic spaces (32-XX) 16 Measure and integration (28-XX) 15 Integral equations (45-XX) 10 Real functions (26-XX) 8 Potential theory (31-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 907 times in 360 Documents Cited by ▼ Year ▼ Jump problem and removable singularities for monogenic functions. Zbl 1211.30056 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Peña-Peña, Dixan 42 2007 Integration over non-rectifiable curves and Riemann boundary value problems. Zbl 1218.30104 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Kats, Boris A. 29 2011 Inframonogenic functions and their applications in 3-dimensional elasticity theory. Zbl 1400.30054 Moreno García, Arsenio; Moreno García, Tania; Abreu Blaya, Ricardo; Bory Reyes, Juan 28 2018 A Cauchy integral formula for inframonogenic functions in Clifford analysis. Zbl 1369.30063 Moreno García, Arsenio; Moreno García, Tania; Abreu Blaya, Ricardo; Bory Reyes, Juan 28 2017 On the Riemann Hilbert type problems in Clifford analysis. Zbl 1061.30033 Abreu Blaya, Ricardo; Bory Reyes, Juan 23 2001 Decomposition of inframonogenic functions with applications in elasticity theory. Zbl 1446.30077 Garcia, Arsenio Moreno; Garcia, Tania Moreno; Blaya, Ricardo Abreu; Reyes, Juan Bory 22 2020 Cauchy integral formulae in quaternionic Hermitean Clifford analysis. Zbl 1275.30017 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 20 2012 Cantor-type sets in hyperbolic numbers. Zbl 1357.28008 Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M. 18 2016 On the \(\Pi\)-operator in Clifford analysis. Zbl 1345.30071 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe 18 2016 Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric. Zbl 1400.53075 Balankin, Alexander S.; Bory-Reyes, Juan; Shapiro, Michael 17 2016 Boundary value problems for quaternionic monogenic functions on non-smooth surfaces. Zbl 0948.30047 Abreu Blaya, Ricardo; Bory Reyes, Juan 16 1999 Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\). Zbl 1100.30032 Abreu Blaya, Ricardo; Peña Peña, Dixan; Bory Reyes, Juan 15 2003 Cauchy integral and singular integral operator over closed Jordan curves. Zbl 1306.30017 Blaya, Ricardo Abreu; Reyes, Juan Bory; Kats, Boris 14 2015 Boundary value problems associated to a Hermitian Helmholtz equation. Zbl 1269.30050 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 14 2012 On the jump problem for \(\beta\)-analytic functions. Zbl 1104.30024 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan 13 2006 Boundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains. Zbl 1410.30024 Abreu Blaya, Ricardo; Ávila Ávila, Rafael; Bory Reyes, Juan 13 2015 Cauchy transform and rectifiability in Clifford analysis. Zbl 1077.30045 Bory Reyes, Juan; Abreu Blaya, Ricardo 12 2005 On the \(\phi \)-hyperderivative of the \(\psi \)-Cauchy-type integral in Clifford analysis. Zbl 1364.30053 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe 12 2017 Minkowski dimension and Cauchy transform in Clifford analysis. Zbl 1129.30033 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Tania 12 2007 On some structural sets and a quaternionic \((\phi,\psi)\)-hyperholomorphic function theory. Zbl 1327.30057 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe 12 2015 Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044 Bory Reyes, Juan; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 12 2016 Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. Zbl 1180.30052 Blaya, Ricardo Abreu; Reyes, Juan Bory; Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Peña, Dixan Peña; Sommen, Frank 12 2008 A Cauchy integral formula for infrapolymonogenic functions in Clifford analysis. Zbl 1435.30136 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Arsenio; Moreno García, Tania 12 2020 Teodorscu transform decomposition of multivector fields on fractal hypersurfaces. Zbl 1153.30039 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Moreno-García, Tania 11 2006 A boundary value problem for Hermitian monogenic functions. Zbl 1154.30036 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank 11 2008 Cauchy type integral in bicomplex setting and its properties. Zbl 1445.30022 Bory-Reyes, Juan; Pérez-Regalado, Cesar Octavio; Shapiro, Michael 10 2019 Cauchy transform on nonrectifiable surfaces in Clifford analysis. Zbl 1132.30026 Abreu-Blaya, R.; Bory-Reyes, J.; Moreno-García, T. 10 2008 Riemann boundary value problem for \(\beta\)-analytic functions. Zbl 1135.30314 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Peña-Peña, Dixan; Vilaire, Jean-Marie 10 2007 On the Laplacian vector fields theory in domains with rectifiable boundary. Zbl 1107.30035 Abreu-Blaya, R.; Bory-Reyes, J.; Shapiro, M. 9 2006 A jump problem for \(\beta \)-analytic functions in domains with fractal boundaries. Zbl 1184.30025 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Vilaire, Jean-Marie 9 2010 The Riemann boundary value problem for \(\beta \)-analytic functions over \(D\)-summable closed curves. Zbl 1251.30051 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Vilaire, Jean-Marie 9 2012 The Clifford-Cauchy transform with a continuous density: N. Davydov’s theorem. Zbl 1130.30034 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Gerus, Oleg F.; Shapiro, Michael 8 2005 A quaternionic treatment of inhomogeneous Cauchy-Riemann type systems in some traditional theories. Zbl 1375.30067 Bory Reyes, Juan; Abreu Blaya, R.; Pérez-de la Rosa, M. A.; Schneider, Baruch 8 2017 A Hermitian Cauchy formula on a domain with fractal boundary. Zbl 1201.30060 Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 8 2010 The quaternionic Riemann problem with a natural geometric condition on the boundary. Zbl 1021.30042 Bory Reyes, Juan; Abreu Blaya, Ricardo 8 2000 More about Cantor like sets in hyperbolic numbers. Zbl 1375.28019 Téllez-Sánchez, Gamaliel Yafte; Bory-Reyes, Juan 8 2017 Mathematical modeling of tumor growth in mice following low-level direct electric current. Zbl 1137.92319 Bergues Cabrales, Luis Enrique; Ramírez Aguilera, Andrés; Placeres Jiménez, Rolando; Verdecia Jarque, Manuel; Camué Ciria, Héctor Manuel; Bory Reyes, Juan; O’Farril Mateus, Miguel Angel; Suárez Palencia, Fabiola; González Ávila, Marisela 8 2008 Hermitian decomposition of continuous functions on a fractal surface. Zbl 1169.30022 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Tania 8 2009 The Plemelj-Privalov theorem in polyanalytic function theory. Zbl 1388.30059 De la Cruz Toranzo, Lianet; Abreu Blaya, Ricardo; Bory Reyes, Juan 8 2018 Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\). Zbl 1276.30058 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 8 2012 Riemann boundary value problem for hyperanalytic functions. Zbl 1091.30045 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan 7 2005 Integral representation formulas related to the Lamé-Navier system. Zbl 1461.30110 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Herrera-Peláez, Marcos Antonio; Sigarreta-Almira, José María 7 2020 A Martinelli-Bochner formula on fractal domains. Zbl 1175.30044 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 7 2009 On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes. Zbl 1427.30074 De la Cruz Toranzo, Lianet; Abreu Blaya, Ricardo; Bory Reyes, Juan 7 2019 Analytic Riemann boundary value problem on \(h\)-summable closed curves. Zbl 1364.30042 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Tania; Peña Pérez, Yudier 7 2014 Clifford analysis versus its quaternionic counterparts. Zbl 1201.30070 Reyes, Juan Bory; Shapiro, Michael 7 2010 Singular integral operator involving higher order Lipschitz classes. Zbl 1375.30045 Bory-Reyes, Juan; De la Cruz-Toranzo, Lianet; Abreu-Blaya, Ricardo 7 2017 Boundary value problems for Dirac operators and Maxwell’s equations in fractal domains. Zbl 1307.30086 Abreu Blaya, R.; Ávila Ávila, R.; Bory Reyes, J. 7 2015 Boundary value problems for the Cimmino system via quaternionic analysis. Zbl 1311.30030 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Schneider, Baruch 7 2012 On the notion of the Bochner-Martinelli integral for domains with rectifiable boundary. Zbl 1178.32001 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Shapiro, Michael 6 2007 On Cauchy type integrals related to the Cimmino system of partial differential equations. Zbl 1323.30066 Abreu Blaya, R.; Bory Reyes, J.; Schneider, B. 6 2014 Singular integral operators and a \(\overline{\partial}\)-problem for \((\varphi, \psi)\)-harmonic functions. Zbl 1476.30162 Serrano Ricardo, José Luis; Bory Reyes, Juan; Abreu Blaya, Ricardo 6 2021 On the solutions of the Moisil-Théodoresco system. Zbl 1200.30040 Bory Reyes, Juan; Delanghe, Richard 6 2008 A property of the \(\beta\)-Cauchy-type integral with continuous density. Zbl 1199.30238 Abreu Blaya, R.; Bory Reyes, J. 6 2008 D-summable fractal dimensions of complex networks. Zbl 1451.28006 Ramirez-Arellano, Aldo; Bermúdez-Gómez, Salvador; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan 6 2019 The isotonic Cauchy transform. Zbl 1113.30042 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank 5 2007 Conjugate hyperharmonic functions and Cauchy type integrals in Douglis analysis. Zbl 1053.30041 Abreu Blaya, Ricardo; Peña Peña, Dixan; Bory Reyes, Juan 5 2003 Harmonic multivector fields and the Cauchy integral decomposition in Clifford analysis. Zbl 1063.30045 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Delanghe, Richard; Sommen, Frank 5 2004 2D quaternionic time-harmonic Maxwell system in elliptic coordinates. Zbl 1319.35253 Abreu-Blaya, Ricardo; Ávila-Ávila, Rafael; Bory-Reyes, Juan; Rodríguez-Dagnino, Ramón M. 5 2015 On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation. Zbl 1418.30045 Bory Reyes, Juan; Abreu Blaya, Ricardo; Rodríguez Dagnino, Ramón Martin; Kats, Boris Aleksandrovich 5 2019 A Davydov theorem for the isotonic Cauchy transform. Zbl 1128.30018 Reyes, Juan Bory; Peña Peña, Dixan; Sommen, Frank 5 2007 Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces. Zbl 1191.15006 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie 5 2010 Dirichlet-type problems for the two-dimensional Helmholtz operator in complex quaternionic analysis. Zbl 1353.30050 Bory-Reyes, Juan; Abreu-Blaya, Ricardo; Hernández-Simon, Luis M.; Schneider, Baruch 5 2016 On the Cauchy type integral and the Riemann problem. Zbl 0985.30027 Bory Reyes, Juan; Abreu Blaya, Ricardo 5 2000 The Plemelj-Privalov theorem in Clifford analysis. Zbl 1169.30021 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Tania 5 2009 Hyperanalytic Riemann boundary value problem on \(d\)-summable closed curves. Zbl 1177.30062 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Vilaire, Jean-Marie 5 2010 \(\overline \partial\)-problem in domains of \(\mathbb C^2\) in terms of hyper-conjugate harmonic functions. Zbl 1252.30032 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Luna-Elizarrarás, María Elena; Shapiro, Michael 5 2012 Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis. Zbl 1318.30073 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 5 2013 A box-covering Tsallis information dimension and non-extensive property of complex networks. Zbl 1434.94042 Ramirez-Arellano, Aldo; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan 5 2020 Generalized iterated function systems on hyperbolic number plane. Zbl 1433.37043 Téllez-Sánchez, Gamaliel Yafte; Bory-Reyes, Juan 5 2019 Weighted Cauchy transforms in Clifford analysis. Zbl 1104.30023 Abreu-Blaya, R.; Bory-Reyes, J.; Moreno-García, T.; Peña-Peña, D. 4 2006 Cauchy integral decomposition of multi-vector valued functions on hypersurfaces. Zbl 1089.30047 Abreu Blaya, Ricardo; Bory Reyes, Juan; Delanghe, Richard; Sommen, Frank 4 2005 Boundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain. Zbl 1410.30023 Abreu Blaya, Ricardo; Bory Reyes, Juan; Rodríguez Dagnino, Ramón M. 4 2015 Solutions of inhomogeneous generalized Moisil-Teodorescu systems in Euclidean space. Zbl 1429.30038 Bory-Reyes, Juan; Pérez-de la Rosa, Marco Antonio 4 2019 On the structure of solutions of the Moisil-Théodoresco system in Euclidean space. Zbl 1169.30025 Reyes, Juan Bory; Delanghe, Richard 4 2009 Hölder norm estimate for the Hilbert transform in Clifford analysis. Zbl 1222.30040 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 4 2010 On the solvability of the jump problem in Clifford analysis. Zbl 1318.30072 Abreu-Blaya, R.; Bory-Reyes, J.; Kats, B. A. 4 2013 Extension theorem for complex Clifford algebras-valued functions on fractal domains. Zbl 1196.30044 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Bosch, Paul 4 2010 Duality for harmonic differential forms via Clifford analysis. Zbl 1134.30336 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Delanghe, Richard; Sommen, Frank 4 2007 A short note on the local solvability of the quaternionic Beltrami equation. Zbl 1312.30062 Bory Reyes, Juan; Cerejeiras, Paula; Guzmán Adán, Alí; Kähler, Uwe 4 2014 Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals. Zbl 1407.30024 Bory Reyes, Juan; Abreu Blaya, Ricardo; Pérez-de la Rosa, Marco Antonio; Schneider, Baruch 4 2017 Inframonogenic decomposition of higher-order Lipschitz functions. Zbl 1529.30045 Abreu Blaya, Ricardo; Alfonso Santiesteban, Daniel; Bory Reyes, Juan; Moreno García, Arsenio 4 2022 Boundary value problems for a second-order elliptic partial differential equation system in Euclidean space. Zbl 1531.30034 Alfonso Santiesteban, Daniel; Abreu Blaya, Ricardo; Bory Reyes, Juan 4 2023 \({\overline{\partial}}\)-problem for an overdetermined system with two higher dimensional variables. Zbl 1236.30039 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 4 2011 Generalized Moisil-Théodoresco systems and Cauchy integral decompositions. Zbl 1160.30026 Abreu Blaya, Ricardo; Bory Reyes, Juan; Delanghe, Richard; Sommen, Frank 4 2008 Approximate dimension applied to criteria for monogenicity on fractal domains. Zbl 1255.30048 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Kats, Boris A. 4 2012 Commutators and singular integral operators in Clifford analysis. Zbl 1081.30041 Abreu Blaya, Ricardo; Bory Reyes, Juan 3 2005 Criteria for monogenicity of Clifford algebra-valued functions on fractal domains. Zbl 1206.30063 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 3 2010 On a mixed Fischer decomposition in Clifford analysis. Zbl 1364.30055 Bory Reyes, Juan; De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 3 2017 Compound Riemann Hilbert boundary value problems in complex and quaternionic analysis. Zbl 1369.30052 Bory Reyes, Juan; Tamayo Castro, Carlos Daniel; Abreu Blaya, Ricardo 3 2017 Holomorphic extension theorems in Lipschitz domains of \({\mathbb{C}}^{2}\). Zbl 1193.30068 Blaya, Ricardo Abreu; Reyes, Juan Bory; Peña, Dixan Peña; Sommen, Frank 3 2010 Solvability of a Riemann linear conjugation problem on a fractal surface. Zbl 0962.30020 Abreu Blaya, Ricardo; Bory Reyes, Juan 3 1998 Extensions of the Shannon entropy and the chaos game algorithm to hyperbolic numbers plane. Zbl 1493.60006 Téllez-Sánchez, G. Y.; Bory-Reyes, J. 3 2021 Duality for Hermitean systems in \(\mathbb R^{2n}\). Zbl 1275.30018 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Delanghe, Richard; Sommen, Frank 3 2012 A Hilbert transform for matrix functions on fractal domains. Zbl 1275.30016 Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 3 2012 On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle. Zbl 1424.31001 Bory Reyes, Juan; Abreu Blaya, Ricardo; Pérez de la Rosa, Marco Antonio; Schneider, Baruch 3 2018 Biquaternionic reformulation of a fractional monochromatic Maxwell system. Zbl 1434.35275 Peña Pérez, Yudier; Abreu Blaya, Ricardo; Árciga Alejandre, Martín Patricio; Bory Reyes, Juan 3 2020 A quaternionic fractional Borel-Pompeiu-type formula. Zbl 1486.30135 González-Cervantes, José Oscar; Bory-Reyes, Juan 3 2022 A Cauchy transform for polyanalytic functions on fractal domains. Zbl 1426.30036 Gómez Santiesteban, Tania Rosa; Abreu Blaya, Ricardo; Bory Reyes, Juan; Sigarreta Almira, José María 3 2018 One-dimensional singular integral equations. Zbl 1046.30022 Bory Reyes, Juan; Abreu Blaya, Ricardo 2 2003 Boundary value problems for a second-order elliptic partial differential equation system in Euclidean space. Zbl 1531.30034 Alfonso Santiesteban, Daniel; Abreu Blaya, Ricardo; Bory Reyes, Juan 4 2023 A fractional Borel-Pompeiu type formula and a related fractional \(\psi\)-Fueter operator with respect to a vector-valued function. Zbl 1529.30046 González-Cervantes, José Oscar; Bory-Reyes, Juan 1 2023 A bicomplex \((\vartheta,\varphi)\)-weighted fractional Borel-Pompeiu type formula. Zbl 1508.30089 González-Cervantes, José Oscar; Bory-Reyes, Juan 1 2023 Inframonogenic decomposition of higher-order Lipschitz functions. Zbl 1529.30045 Abreu Blaya, Ricardo; Alfonso Santiesteban, Daniel; Bory Reyes, Juan; Moreno García, Arsenio 4 2022 A quaternionic fractional Borel-Pompeiu-type formula. Zbl 1486.30135 González-Cervantes, José Oscar; Bory-Reyes, Juan 3 2022 On a Riemann-Hilbert boundary value problem for \((\varphi,\psi)\)-harmonic functions in \(\mathbb{R}^m\). Zbl 1491.35308 Serrano Ricardo, José Luis; Abreu Blaya, Ricardo; Bory Reyes, Juan; Sánchez Ortiz, Jorge 1 2022 On Bergman spaces induced by a \(\mathbf{v}\)-Laplacian vector fields theory. Zbl 1494.30084 González-Cervantes, J. Oscar; Bory-Reyes, Juan 1 2022 Singular integral operators and a \(\overline{\partial}\)-problem for \((\varphi, \psi)\)-harmonic functions. Zbl 1476.30162 Serrano Ricardo, José Luis; Bory Reyes, Juan; Abreu Blaya, Ricardo 6 2021 Extensions of the Shannon entropy and the chaos game algorithm to hyperbolic numbers plane. Zbl 1493.60006 Téllez-Sánchez, G. Y.; Bory-Reyes, J. 3 2021 On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras. Zbl 1462.30102 Tamayo-Castro, Carlos Daniel; Abreu-Blaya, Ricardo; Bory-Reyes, Juan 2 2021 The homogeneous Riemann boundary value problem with general continuous coefficient on rectifiable open curves. Zbl 1482.30101 Bory-Reyes, J. 1 2021 Noether property and approximate solution of the Riemann boundary value problem on closed curves. Zbl 1483.30074 Bory-Reyes, Juan; Katz, David 1 2021 On the Moisil-Theodoresco operator in orthogonal curvilinear coordinates. Zbl 1462.30093 Bory Reyes, J.; Pérez-de la Rosa, M. A. 1 2021 Hilbert and Poincaré-Bertrand formulas in polyanalytic function theory involving higher order Lipschitz classes. Zbl 1477.30041 Bory-Reyes, Juan; Abreu-Blaya, Ricardo; Pérez-de la Rosa, Marco Antonio; Schneider, Baruch 1 2021 Decomposition of inframonogenic functions with applications in elasticity theory. Zbl 1446.30077 Garcia, Arsenio Moreno; Garcia, Tania Moreno; Blaya, Ricardo Abreu; Reyes, Juan Bory 22 2020 A Cauchy integral formula for infrapolymonogenic functions in Clifford analysis. Zbl 1435.30136 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Arsenio; Moreno García, Tania 12 2020 Integral representation formulas related to the Lamé-Navier system. Zbl 1461.30110 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Herrera-Peláez, Marcos Antonio; Sigarreta-Almira, José María 7 2020 A box-covering Tsallis information dimension and non-extensive property of complex networks. Zbl 1434.94042 Ramirez-Arellano, Aldo; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan 5 2020 Biquaternionic reformulation of a fractional monochromatic Maxwell system. Zbl 1434.35275 Peña Pérez, Yudier; Abreu Blaya, Ricardo; Árciga Alejandre, Martín Patricio; Bory Reyes, Juan 3 2020 Fractional information dimensions of complex networks. Zbl 1451.94021 Ramirez-Arellano, Aldo; Sigarreta Almira, José María; Bory-Reyes, Juan 2 2020 Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the \(\beta\)-analytic function theory. Zbl 1455.30032 Bory-Reyes, Juan; Abreu-Blaya, Ricardo; Pérez-de la Rosa, Marco Antonio; Schneider, Baruch 1 2020 Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains. Zbl 1435.78003 Peña Pérez, Yudier; Abreu Blaya, Ricardo; Bosch, Paul; Bory Reyes, Juan 1 2020 Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectifiable boundary. Zbl 1436.30043 González-Campos, Daniel; Pérez-De La Rosa, Marco Antonio; Bory-Reyes, Juan 1 2020 Cauchy type integral in bicomplex setting and its properties. Zbl 1445.30022 Bory-Reyes, Juan; Pérez-Regalado, Cesar Octavio; Shapiro, Michael 10 2019 On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes. Zbl 1427.30074 De la Cruz Toranzo, Lianet; Abreu Blaya, Ricardo; Bory Reyes, Juan 7 2019 D-summable fractal dimensions of complex networks. Zbl 1451.28006 Ramirez-Arellano, Aldo; Bermúdez-Gómez, Salvador; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan 6 2019 On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation. Zbl 1418.30045 Bory Reyes, Juan; Abreu Blaya, Ricardo; Rodríguez Dagnino, Ramón Martin; Kats, Boris Aleksandrovich 5 2019 Generalized iterated function systems on hyperbolic number plane. Zbl 1433.37043 Téllez-Sánchez, Gamaliel Yafte; Bory-Reyes, Juan 5 2019 Solutions of inhomogeneous generalized Moisil-Teodorescu systems in Euclidean space. Zbl 1429.30038 Bory-Reyes, Juan; Pérez-de la Rosa, Marco Antonio 4 2019 Compactness of embedding of generalized higher order Lipschitz classes. Zbl 1443.46015 Tamayo Castro, Carlos Daniel; Abreu Blaya, Ricardo; Bory Reyes, Juan 2 2019 A bimonogenic Cauchy transform on higher order Lipschitz classes. Zbl 1412.30137 De la Cruz Toranzo, Lianet; Moreno García, Arsenio; Moreno García, Tania; Abreu Blaya, Ricardo; Bory Reyes, Juan 2 2019 Parametric iterative function system for the continuum growth: Cantor set case. Zbl 1434.28022 Gutiérrez-Hernández, Sebastián; Bory-Reyes, Juan 1 2019 Inframonogenic functions and their applications in 3-dimensional elasticity theory. Zbl 1400.30054 Moreno García, Arsenio; Moreno García, Tania; Abreu Blaya, Ricardo; Bory Reyes, Juan 28 2018 The Plemelj-Privalov theorem in polyanalytic function theory. Zbl 1388.30059 De la Cruz Toranzo, Lianet; Abreu Blaya, Ricardo; Bory Reyes, Juan 8 2018 On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle. Zbl 1424.31001 Bory Reyes, Juan; Abreu Blaya, Ricardo; Pérez de la Rosa, Marco Antonio; Schneider, Baruch 3 2018 A Cauchy transform for polyanalytic functions on fractal domains. Zbl 1426.30036 Gómez Santiesteban, Tania Rosa; Abreu Blaya, Ricardo; Bory Reyes, Juan; Sigarreta Almira, José María 3 2018 On the Hilbert formulas on the unit circle for \(\alpha\)-hyperholomorphic function theory. Zbl 1404.44007 Bory Reyes, J.; Abreu Blaya, R.; Pérez-de la Rosa, M. A.; Schneider, B. 2 2018 Integrated analysis of the potential, electric field, temperature, pH and tissue damage generated by different electrode arrays in a tumor under electrochemical treatment. Zbl 1482.92039 Soba, Alejandro; Suárez, Cecilia; González, Maraelys Morales; Bergues Cabrales, Luis Enrique; Pupo, Ana Elisa Bergues; Reyes, Juan Bory; Martínez Tassé, José Pablo 2 2018 A Cauchy integral formula for inframonogenic functions in Clifford analysis. Zbl 1369.30063 Moreno García, Arsenio; Moreno García, Tania; Abreu Blaya, Ricardo; Bory Reyes, Juan 28 2017 On the \(\phi \)-hyperderivative of the \(\psi \)-Cauchy-type integral in Clifford analysis. Zbl 1364.30053 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe 12 2017 A quaternionic treatment of inhomogeneous Cauchy-Riemann type systems in some traditional theories. Zbl 1375.30067 Bory Reyes, Juan; Abreu Blaya, R.; Pérez-de la Rosa, M. A.; Schneider, Baruch 8 2017 More about Cantor like sets in hyperbolic numbers. Zbl 1375.28019 Téllez-Sánchez, Gamaliel Yafte; Bory-Reyes, Juan 8 2017 Singular integral operator involving higher order Lipschitz classes. Zbl 1375.30045 Bory-Reyes, Juan; De la Cruz-Toranzo, Lianet; Abreu-Blaya, Ricardo 7 2017 Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals. Zbl 1407.30024 Bory Reyes, Juan; Abreu Blaya, Ricardo; Pérez-de la Rosa, Marco Antonio; Schneider, Baruch 4 2017 On a mixed Fischer decomposition in Clifford analysis. Zbl 1364.30055 Bory Reyes, Juan; De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 3 2017 Compound Riemann Hilbert boundary value problems in complex and quaternionic analysis. Zbl 1369.30052 Bory Reyes, Juan; Tamayo Castro, Carlos Daniel; Abreu Blaya, Ricardo 3 2017 Cauchy integral operators involving higher order Lipschitz classes in the poly-analytic function theory. Zbl 1375.30061 Abreu-Blaya, Ricardo; De la Cruz-Toranzo, Lianet; Gómez-Santiesteban, Tania R.; Ramírez-Leyva, Yulieth; Bory-Reyes, Juan 2 2017 Hölder norm estimate for the fractal Hilbert transform in Douglis analysis. Zbl 1375.42021 Peña Pérez, Yudier; Árciga Alejandre, Martín P.; Abreu Blaya, Ricardo; Bory Reyes, Juan 1 2017 On the 2D quaternionic metaharmonic layer potentials. Zbl 1377.30038 Bory Reyes, Juan; Abreu Blaya, R.; Pérez de la Rosa, M. A.; Schneider, Baruch 1 2017 Cantor-type sets in hyperbolic numbers. Zbl 1357.28008 Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M. 18 2016 On the \(\Pi\)-operator in Clifford analysis. Zbl 1345.30071 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe 18 2016 Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric. Zbl 1400.53075 Balankin, Alexander S.; Bory-Reyes, Juan; Shapiro, Michael 17 2016 Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044 Bory Reyes, Juan; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 12 2016 Dirichlet-type problems for the two-dimensional Helmholtz operator in complex quaternionic analysis. Zbl 1353.30050 Bory-Reyes, Juan; Abreu-Blaya, Ricardo; Hernández-Simon, Luis M.; Schneider, Baruch 5 2016 Cauchy integral and singular integral operator over closed Jordan curves. Zbl 1306.30017 Blaya, Ricardo Abreu; Reyes, Juan Bory; Kats, Boris 14 2015 Boundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains. Zbl 1410.30024 Abreu Blaya, Ricardo; Ávila Ávila, Rafael; Bory Reyes, Juan 13 2015 On some structural sets and a quaternionic \((\phi,\psi)\)-hyperholomorphic function theory. Zbl 1327.30057 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe 12 2015 Boundary value problems for Dirac operators and Maxwell’s equations in fractal domains. Zbl 1307.30086 Abreu Blaya, R.; Ávila Ávila, R.; Bory Reyes, J. 7 2015 2D quaternionic time-harmonic Maxwell system in elliptic coordinates. Zbl 1319.35253 Abreu-Blaya, Ricardo; Ávila-Ávila, Rafael; Bory-Reyes, Juan; Rodríguez-Dagnino, Ramón M. 5 2015 Boundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain. Zbl 1410.30023 Abreu Blaya, Ricardo; Bory Reyes, Juan; Rodríguez Dagnino, Ramón M. 4 2015 Boundary value problems on fractal hypersurfaces for the quaternionic Hermitian system in \(\mathbb R^{4n}\). Zbl 1317.30072 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Moreno-García, Tania; Sommen, Frank 2 2015 Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries. Zbl 1332.30071 Abreu-Blaya, Ricardo; Ávila-Ávila, Rafael; Bory-Reyes, Juan; Rodríguez-Dagnino, Ramón M. 1 2015 Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in \(\mathbb R^2\). Zbl 1351.30035 Abreu Blaya, Ricardo; Bory Reyes, Juan 1 2015 Analytic Riemann boundary value problem on \(h\)-summable closed curves. Zbl 1364.30042 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Tania; Peña Pérez, Yudier 7 2014 On Cauchy type integrals related to the Cimmino system of partial differential equations. Zbl 1323.30066 Abreu Blaya, R.; Bory Reyes, J.; Schneider, B. 6 2014 A short note on the local solvability of the quaternionic Beltrami equation. Zbl 1312.30062 Bory Reyes, Juan; Cerejeiras, Paula; Guzmán Adán, Alí; Kähler, Uwe 4 2014 Hölder norm of a fractal Hilbert transform in Douglis analysis. Zbl 1320.30081 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Vilaire, Jean-Marie 2 2014 On boundary value problems for perturbed Hermitean matrix Dirac equations in a fractal domain. Zbl 1302.30062 Abreu Blaya, Ricardo; Bory Reyes, Juan 2 2014 Dirichlet type problems in Hermitian Clifford analysis. Zbl 1332.30072 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Moreno-García, Tania; Sommen, Frank 2 2014 Symmetries and associated pairs in quaternionic analysis. Zbl 1314.30095 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Kähler, Uwe 2 2014 Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces. Zbl 1295.30111 Abreu Blaya, Ricardo; Bory Reyes, Juan 1 2014 Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis. Zbl 1318.30073 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 5 2013 On the solvability of the jump problem in Clifford analysis. Zbl 1318.30072 Abreu-Blaya, R.; Bory-Reyes, J.; Kats, B. A. 4 2013 Cauchy integral formulae in quaternionic Hermitean Clifford analysis. Zbl 1275.30017 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 20 2012 Boundary value problems associated to a Hermitian Helmholtz equation. Zbl 1269.30050 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 14 2012 The Riemann boundary value problem for \(\beta \)-analytic functions over \(D\)-summable closed curves. Zbl 1251.30051 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Vilaire, Jean-Marie 9 2012 Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\). Zbl 1276.30058 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 8 2012 Boundary value problems for the Cimmino system via quaternionic analysis. Zbl 1311.30030 Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzmán Adán, Alí; Schneider, Baruch 7 2012 \(\overline \partial\)-problem in domains of \(\mathbb C^2\) in terms of hyper-conjugate harmonic functions. Zbl 1252.30032 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Luna-Elizarrarás, María Elena; Shapiro, Michael 5 2012 Approximate dimension applied to criteria for monogenicity on fractal domains. Zbl 1255.30048 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Kats, Boris A. 4 2012 Duality for Hermitean systems in \(\mathbb R^{2n}\). Zbl 1275.30018 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Delanghe, Richard; Sommen, Frank 3 2012 A Hilbert transform for matrix functions on fractal domains. Zbl 1275.30016 Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 3 2012 The Plemelj-Privalov theorem in variable exponent Clifford analysis. Zbl 1269.30049 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 2 2012 Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis. Zbl 1256.30046 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 2 2012 The sharpness of condition for solving the jump problem. Zbl 1262.30032 Abreu Blaya, Ricardo; Bory Reyes, Juan; Morena García, Tania 1 2012 Integration over non-rectifiable curves and Riemann boundary value problems. Zbl 1218.30104 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Kats, Boris A. 29 2011 \({\overline{\partial}}\)-problem for an overdetermined system with two higher dimensional variables. Zbl 1236.30039 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 4 2011 A biregular extension theorem from a fractal surface in \(\mathbb R^{2n}\). Zbl 1213.30084 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Tania 1 2011 A holomorphic extension theorem using Clifford analysis. Zbl 1222.30041 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank 1 2011 A jump problem for \(\beta \)-analytic functions in domains with fractal boundaries. Zbl 1184.30025 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Vilaire, Jean-Marie 9 2010 A Hermitian Cauchy formula on a domain with fractal boundary. Zbl 1201.30060 Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 8 2010 Clifford analysis versus its quaternionic counterparts. Zbl 1201.30070 Reyes, Juan Bory; Shapiro, Michael 7 2010 Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces. Zbl 1191.15006 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie 5 2010 Hyperanalytic Riemann boundary value problem on \(d\)-summable closed curves. Zbl 1177.30062 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Vilaire, Jean-Marie 5 2010 Hölder norm estimate for the Hilbert transform in Clifford analysis. Zbl 1222.30040 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 4 2010 Extension theorem for complex Clifford algebras-valued functions on fractal domains. Zbl 1196.30044 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Bosch, Paul 4 2010 Criteria for monogenicity of Clifford algebra-valued functions on fractal domains. Zbl 1206.30063 Abreu-Blaya, Ricardo; Bory-Reyes, Juan 3 2010 Holomorphic extension theorems in Lipschitz domains of \({\mathbb{C}}^{2}\). Zbl 1193.30068 Blaya, Ricardo Abreu; Reyes, Juan Bory; Peña, Dixan Peña; Sommen, Frank 3 2010 Biregular extendability via isotonic Clifford analysis. Zbl 1195.30067 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank 1 2010 Hermitian decomposition of continuous functions on a fractal surface. Zbl 1169.30022 Abreu Blaya, Ricardo; Bory Reyes, Juan; Moreno García, Tania 8 2009 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 326 Authors 112 Bory Reyes, Juan 101 Abreu-Blaya, Ricardo 24 Sommen, Franciscus 21 De Schepper, Hennie 21 Kats, Boris Aleksandrovich 21 Katz, David B. 19 Brackx, Fred F. 16 Kähler, Uwe 15 Ku, Min 14 Li, Pingrun 13 Moreno García, Arsenio 13 Moreno García, Tania 13 Schneider, Baruch 11 Balankin, Alexander S. 11 Gu, Longfei 11 He, Fuli 11 Pérez-de La Rosa, Marco Antonio 11 Santiesteban, Daniel Alfonso 11 Sigarreta Almira, José María 8 Adán, Alí Guzmán 8 Árciga Alejandre, Martín Patricio 8 González-Cervantes, José Óscar 8 Peña Peña, Dixan 8 Peña Pérez, Yudier 7 Delanghe, Richard 7 Shapiro, Michael V. 6 Cerejeiras, Paula 6 De la Cruz-Toranzo, Lianet 6 Dinh, Doan Cong 6 Lávička, Roman 5 Bergues Cabrales, Luis Enrique 5 Luna-Elizarrarás, María Elena 5 Soucek, Vladimir 5 Tamayo Castro, Carlos Daniel 4 Ávila-Ávila, Rafael 4 Ben Mabrouk, Anouar 4 Chen, Wen 4 Gao, Long 4 Ren, Guangbin 4 Téllez-Sánchez, Gamaliel Yafte 4 Vilaire, Jean-Marie 4 Wang, Liping 4 Weberszpil, Jose 4 Xie, Yonghong 3 Arfaoui, Sabrine 3 Bernstein, Swanhild 3 Bosch, Paul J. 3 Camué Ciria, Héctor Manuel 3 Chen, Shuhong 3 De Knock, Bram 3 Du, Jinyuan 3 Golmankhaneh, Alireza Khalili 3 Gómez Santiesteban, Tania Rosa 3 Hernández-Gómez, Juan Carlos 3 Hernández-Simón, Luis Manuel 3 Mironova, S. R. 3 Patiño-Ortiz, Julián 3 Patiño-Ortiz, Miguel 3 Pogodina, A. Yu. 3 Qiao, Yuying 3 Ramírez Aguilera, Andrés 3 Ramirez-Arellano, Aldo 3 Rodríguez-Dagnino, Ramón Martín 3 Rodríguez García, José Manuel 3 Sabadini, Irene 3 Serrano Ricardo, José Luis 3 Shpakivskyi, Vitalii Stanislavovich 3 Wang, Daoshun 3 Wang, Ying 3 Yang, Pei 3 Zhang, Zhongxiang 2 Acosta Brooks, Soraida Candida 2 Álvarez, Luis Miguel Martín 2 Arif, Mohd. 2 Bai, Songwei 2 Bergues Cabrales, Idelisa 2 Castañeda, Antonio Rafael Selva 2 Cattani, Carlo 2 Chen, Lin 2 Cheng, Wanqing 2 Colombo, Fabrizio 2 Delgado, Briceyda B. 2 Deng, Yong 2 Du, Xiaojing 2 Eelbode, David 2 Fariñas Salas, Miriam 2 Fu, Yongqiang 2 Fu, Zunwei 2 González-Campos, Daniel 2 Guo, Guoan 2 Gürlebeck, Klaus 2 Gutierrez Valencia, Diego Esteban 2 Herrera-Peláez, Marcos Antonio 2 Herus, Oleg F. 2 Hua, Qingsong 2 Huang, Qian 2 Huang, Song 2 Kumar, Romesh 2 Lei, Yanxin 2 Liang, Yingjie ...and 226 more Authors all top 5 Cited in 88 Serials 35 Advances in Applied Clifford Algebras 30 Mathematical Methods in the Applied Sciences 28 Complex Analysis and Operator Theory 26 Complex Variables and Elliptic Equations 24 Journal of Mathematical Analysis and Applications 12 Boundary Value Problems 11 Applied Mathematics and Computation 10 Fractals 10 Analysis and Mathematical Physics 9 Journal of Inequalities and Applications 8 Physics Letters. A 7 Chaos, Solitons and Fractals 7 Russian Mathematics 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Mediterranean Journal of Mathematics 6 Boletín de la Sociedad Matemática Mexicana. Third Series 6 Journal of Applied Analysis and Computation 5 Physica A 5 Mathematics and Computers in Simulation 5 Lobachevskii Journal of Mathematics 5 Computational Methods and Function Theory 4 Journal of Mathematical Sciences (New York) 3 Ukrainian Mathematical Journal 3 Monatshefte für Mathematik 3 Acta Applicandae Mathematicae 3 The Journal of Geometric Analysis 3 Acta Mathematica Sinica. English Series 3 Problemy Analiza. Issues of Analysis 2 Computers & Mathematics with Applications 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 Results in Mathematics 2 Revista de la Unión Matemática Argentina 2 Siberian Mathematical Journal 2 Georgian Mathematical Journal 2 Fractional Calculus & Applied Analysis 2 Acta Mathematica Scientia. Series B. (English Edition) 2 The Australian Journal of Mathematical Analysis and Applications 2 Advances in Pure and Applied Mathematics 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series A 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Journal of Mathematical Imaging and Vision 1 Vestnik St. Petersburg University. Mathematics 1 Tatra Mountains Mathematical Publications 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Journal of Inverse and Ill-Posed Problems 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Abstract and Applied Analysis 1 Chaos 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Revista de Matemática: Teoría y Aplicaciones 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis in Theory and Applications 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Frontiers of Mathematics in China 1 Advances in High Energy Physics 1 Advances in Mathematical Physics 1 Journal of Pseudo-Differential Operators and Applications 1 Communications in Mathematics 1 Journal of Function Spaces 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Korean Journal of Mathematics 1 AIMS Mathematics all top 5 Cited in 40 Fields 275 Functions of a complex variable (30-XX) 49 Partial differential equations (35-XX) 31 Measure and integration (28-XX) 27 Several complex variables and analytic spaces (32-XX) 22 Integral equations (45-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 Real functions (26-XX) 13 Potential theory (31-XX) 11 Operator theory (47-XX) 11 Biology and other natural sciences (92-XX) 10 Ordinary differential equations (34-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral transforms, operational calculus (44-XX) 6 Fluid mechanics (76-XX) 5 Number theory (11-XX) 5 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Nonassociative rings and algebras (17-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.