Edit Profile De Schepper, Hennie Compute Distance To: Compute Author ID: de-schepper.hennie Published as: De Schepper, H.; De Schepper, Hennie; de Schepper, H.; de Schepper, Hennie External Links: MGP Documents Indexed: 112 Publications since 1997, including 1 Book all top 5 Co-Authors 6 single-authored 74 Brackx, Fred F. 37 Sommen, Franciscus 22 Soucek, Vladimir 18 Eelbode, David 17 De Knock, Bram 13 Bory Reyes, Juan 12 Lávička, Roman 11 Abreu-Blaya, Ricardo 9 Van Keer, Roger 6 Adán, Alí Guzmán 5 De Schepper, Nele 4 De Bie, Hendrik 4 De Ridder, Hilde 4 Slodička, Marián 3 Bojarski, Jarosław L. 3 van de Voorde, Liesbet 2 Bureš, Jarolím 2 Delanghe, Richard 2 Luna-Elizarrarás, María Elena 2 Moreno García, Tania 2 Raeymaekers, Tim 2 Shapiro, Michael V. 1 Bernstein, Swanhild 1 Brackx, Freddy 1 Hogge, Michel 1 Kähler, Uwe 1 Krump, Lukáš 1 Peña Peña, Dixan 1 Schepper, Nele De all top 5 Serials 12 Complex Analysis and Operator Theory 10 Mathematical Methods in the Applied Sciences 9 Journal of Mathematical Analysis and Applications 8 Advances in Applied Clifford Algebras 5 Complex Variables and Elliptic Equations 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 3 Numerical Functional Analysis and Optimization 3 Chinese Annals of Mathematics. Series B 3 Cubo 3 Boundary Value Problems 2 Computing 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Serdica Mathematical Journal 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Computational Methods and Function Theory 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Geometry and Physics 1 Archivum Mathematicum 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Complex Variables. Theory and Application 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Applications of Mathematics 1 Experimental Mathematics 1 Potential Analysis 1 Integral Transforms and Special Functions 1 International Journal of Applied Mathematics 1 The ANZIAM Journal 1 International Journal of Pure and Applied Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 85 Functions of a complex variable (30-XX) 19 Partial differential equations (35-XX) 17 Functional analysis (46-XX) 17 Numerical analysis (65-XX) 16 Integral transforms, operational calculus (44-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Mechanics of deformable solids (74-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 633 times in 228 Documents Cited by ▼ Year ▼ Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019Brackx, Fred; Bureš, Jarolím; De Schepper, Hennie; Eelbode, David; Sommen, Frank; Souček, Vladímir 57 2007 Fundaments of Hermitean Clifford analysis. II: Splitting of \(h\)-monogenic equations. Zbl 1144.30019Brackx, F.; Bureš, J.; de Schepper, H.; Eelbode, D.; Sommen, F.; Souček, V. 53 2007 The Hermitian Clifford analysis toolbox. Zbl 1177.30064Brackx, Fred; De Schepper, Hennie; Sommen, Frank 51 2008 The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir 35 2010 On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis. Zbl 1182.30081Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F. 28 2009 A matrix Hilbert transform in Hermitean Clifford analysis. Zbl 1148.44004Brackx, F.; de Knock, B.; de Schepper, H. 27 2008 Discrete function theory based on skew Weyl relations. Zbl 1201.30062De Ridder, Hilde; De Schepper, Hennie; Kähler, Uwe; Sommen, Frank 22 2010 A theoretical framework for wavelet analysis in a Hermitean Clifford setting. Zbl 1149.30036Brackx, Fred; De Schepper, Hennie; Sommen, Frank 17 2007 The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 14 2011 On the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1114.46029Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David 14 2006 A basic framework for discrete Clifford analysis. Zbl 1186.30044de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 13 2009 Discrete Clifford analysis: a germ of function theory. Zbl 1173.30034Brackx, F.; De Schepper, H.; Sommen, F.; Van de Voorde, L. 13 2009 Cauchy integral formulae in quaternionic Hermitean Clifford analysis. Zbl 1275.30017Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 11 2012 Fueter polynomials in discrete Clifford analysis. Zbl 1258.30024De Ridder, H.; De Schepper, H.; Sommen, F. 11 2012 The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis. Zbl 1255.30050De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 11 2011 On a special type of solutions of arbitrary higher spin Dirac operators. Zbl 1194.81082de Schepper, H.; Eelbode, D.; Raeymaekers, T. 11 2010 Boundary value problems associated to a Hermitian Helmholtz equation. Zbl 1269.30050Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 10 2012 Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135Brackx, Fred; De Schepper, Hennie; Souček, Vladimír 10 2010 Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. Zbl 1180.30052Blaya, Ricardo Abreu; Reyes, Juan Bory; Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Peña, Dixan Peña; Sommen, Frank 10 2008 Hilbert-Dirac operators in Clifford analysis. Zbl 1070.30023Brackx, F.; De Schepper, H. 10 2005 Taylor series expansion in discrete Clifford analysis. Zbl 1292.30021De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 9 2014 Conjugate harmonic functions in Euclidean space: a spherical approach. Zbl 1105.46022Brackx, Fred; De Schepper, Hennie 9 2006 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 8 2011 Discrete Clifford analysis: an overview. Zbl 1171.30020Brackx, Fred; de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 8 2009 Hermitean Clifford-Hermite polynomials. Zbl 1134.30039Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F. 8 2007 A new Hilbert transform on the unit sphere in \(\mathbb R^m\). Zbl 1121.44003Brackx, F.; De Schepper, H.; Eelbode, D. 8 2006 A calculus scheme for Clifford distributions. Zbl 1126.46027Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David 7 2006 Determination of the heat transfer coefficient during solidification of alloys. Zbl 1086.76073Slodička, Marián; De Schepper, Hennie 7 2005 On an inverse problem of pressure recovery arising from soil venting facilities. Zbl 1033.35145Slodička, M.; De Schepper, H. 7 2002 Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 6 2014 A Hermitian Cauchy formula on a domain with fractal boundary. Zbl 1201.30060Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 6 2010 Spin actions in Euclidean and Hermitian Clifford analysis in superspace. Zbl 1375.30072De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 5 2018 Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír 5 2011 Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces. Zbl 1191.15006Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie 5 2010 Generalized hermitian Clifford-Hermite polynomials and the associated wavelet transform. Zbl 1169.30023Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Sommen, Frank 5 2009 Distributions in Clifford analysis: an overview. Zbl 1107.30036Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Sommen, Frank 5 2006 Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis. Zbl 1318.30073Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 4 2013 On fundamental solutions in Clifford analysis. Zbl 1291.30247Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M. 4 2012 On the Fourier spectra of distributions in Clifford analysis. Zbl 1128.30014Brackx, Fred; De Knock, Bram; De Schepper, Hennie 4 2006 On a variational approximation method for 2nd order eigenvalue problems in a multi-component domain with nonlocal Dirichlet transition conditions. Zbl 0917.35026De Schepper, H.; Van Keer, R. 4 1998 The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis. Zbl 1375.30071De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 3 2017 Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 3 2017 Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir 3 2016 Introductory Clifford analysis. Zbl 1330.30008Sommen, Frank; De Schepper, Hennie 3 2015 On a chain of harmonic and monogenic potentials in Euclidean half-space. Zbl 1318.30077Brackx, F.; De Bie, H.; De Schepper, H. 3 2014 Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\). Zbl 1276.30058Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 3 2012 A Hilbert transform for matrix functions on fractal domains. Zbl 1275.30016Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 3 2012 The Teodorescu operator in Clifford analysis. Zbl 1254.30080Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M. 3 2012 Hermitian Clifford-Hermite wavelets: An alternative approach. Zbl 1132.42316Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F. 3 2008 Multi-vector spherical monogenics, spherical means and distributions in Clifford analysis. Zbl 1159.30027Brackx, Fred; De Knock, Bram; De Schepper, Hennie 3 2005 On the Fourier transform of distributions and differential operators in Clifford analysis. Zbl 1067.30088Brackx, Fred; De Schepper, Hennie 3 2004 Finite element analysis of a coupling eigenvalue problem on overlapping domains. Zbl 0988.65100De Schepper, Hennie 3 2001 On a finite element method for second order elliptic eigenvalue problems with nonlocal Dirichlet boundary conditions. Zbl 0883.35029De Schepper, H.; Van Keer, R. 3 1997 Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044Reyes, Juan Bory; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 2 2016 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 Harmonic and monogenic potentials in low dimensional Euclidean half-space. Zbl 1300.30088Brackx, F.; De Bie, H.; De Schepper, H. 2 2014 Twisted higher spin Dirac operators. Zbl 1285.30029De Schepper, H.; Eelbode, D.; Raeymaekers, T. 2 2014 Distributional boundary values of harmonic potentials in Euclidean half-space as fundamental solutions of convolution operators in Clifford analysis. Zbl 1272.30068Brackx, Fred; De Bie, Hendrik; De Schepper, Hennie 2 2013 Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems. Zbl 1251.30053Brackx, F.; Delanghe, R.; De Schepper, H. 2 2012 The Hilbert transform on a smooth closed hypersurface. Zbl 1167.30029Brackx, F.; de Schepper, H. 2 2008 Some insights on the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1087.44503Brackx, Fred; de Knock, Bram; de Schepper, Hennie; Eelbode, David 2 2005 A specific family of Clifford distributions. Zbl 1108.30035Brackx, Fred; De Knock, Bram; De Schepper, Hennie 2 2004 Recovery of the boundary data for a linear second order elliptic problem with a nonlocal boundary condition. Zbl 0977.65095De Schepper, Hennie; Slodička, Marián 2 2000 Hermitian Clifford analysis on superspace. Zbl 1394.30034De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 1 2018 Dirichlet type problems in Hermitian Clifford analysis. Zbl 1332.30072Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Moreno-García, Tania; Sommen, Frank 1 2014 Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis. Zbl 1256.30046Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 1 2012 On the structure of complex Clifford algebra. Zbl 1279.15020Brackx, F.; De Schepper, H.; Souček, V. 1 2011 Hilbert transforms in Clifford analysis. Zbl 1203.94017Brackx, Fred; De Knock, Bram; De Schepper, Hennie 1 2010 The Hilbert transform on the unit sphere in \(\mathbb R^{m}\). Zbl 1173.30033Brackx, F.; De Schepper, H. 1 2009 Orthogonality of the generalized Hermitean Clifford-Hermite polynomials. Zbl 1163.46025Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Eelbode, David; Sommen, Frank 1 2008 A new Hilbert transform in Hermitean Clifford analysis. Zbl 1158.30034Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F. 1 2008 Generalized multidimensional Hilbert transforms in Clifford analysis. Zbl 1114.30050Brackx, Fred; De Knock, Bram; De Schepper, Hennie 1 2006 Convolution kernels in Clifford analysis: old and new. Zbl 1087.30043Brackx, Fred; De Schepper, Hennie 1 2005 Finite element approximation of a 2D-1D contact eigenvalue problem. Zbl 1062.65118De Schepper, Hennie 1 2004 A nonlinear boundary value problem containing nonstandard boundary conditions. Zbl 1135.35341Slodička, M.; De Schepper, H. 1 2002 A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with nonlocal Dirichlet transition conditions. Zbl 0940.65118De Schepper, Hennie; Van Keer, Roger 1 1999 Finite element approximation for 2nd order elliptic eigenvalue problems with nonlocal boundary or transition conditions. Zbl 0874.65083Van Keer, R.; De Schepper, H. 1 1997 Spin actions in Euclidean and Hermitian Clifford analysis in superspace. Zbl 1375.30072De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 5 2018 Hermitian Clifford analysis on superspace. Zbl 1394.30034De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 1 2018 The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis. Zbl 1375.30071De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 3 2017 Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 3 2017 Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir 3 2016 Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044Reyes, Juan Bory; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 2 2016 Introductory Clifford analysis. Zbl 1330.30008Sommen, Frank; De Schepper, Hennie 3 2015 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 Taylor series expansion in discrete Clifford analysis. Zbl 1292.30021De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 9 2014 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 6 2014 On a chain of harmonic and monogenic potentials in Euclidean half-space. Zbl 1318.30077Brackx, F.; De Bie, H.; De Schepper, H. 3 2014 Harmonic and monogenic potentials in low dimensional Euclidean half-space. Zbl 1300.30088Brackx, F.; De Bie, H.; De Schepper, H. 2 2014 Twisted higher spin Dirac operators. Zbl 1285.30029De Schepper, H.; Eelbode, D.; Raeymaekers, T. 2 2014 Dirichlet type problems in Hermitian Clifford analysis. Zbl 1332.30072Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Moreno-García, Tania; Sommen, Frank 1 2014 Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis. Zbl 1318.30073Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 4 2013 Distributional boundary values of harmonic potentials in Euclidean half-space as fundamental solutions of convolution operators in Clifford analysis. Zbl 1272.30068Brackx, Fred; De Bie, Hendrik; De Schepper, Hennie 2 2013 Cauchy integral formulae in quaternionic Hermitean Clifford analysis. Zbl 1275.30017Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 11 2012 Fueter polynomials in discrete Clifford analysis. Zbl 1258.30024De Ridder, H.; De Schepper, H.; Sommen, F. 11 2012 Boundary value problems associated to a Hermitian Helmholtz equation. Zbl 1269.30050Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 10 2012 On fundamental solutions in Clifford analysis. Zbl 1291.30247Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M. 4 2012 Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\). Zbl 1276.30058Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 3 2012 A Hilbert transform for matrix functions on fractal domains. Zbl 1275.30016Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 3 2012 The Teodorescu operator in Clifford analysis. Zbl 1254.30080Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M. 3 2012 Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems. Zbl 1251.30053Brackx, F.; Delanghe, R.; De Schepper, H. 2 2012 Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis. Zbl 1256.30046Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 1 2012 The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 14 2011 The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis. Zbl 1255.30050De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 11 2011 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 8 2011 Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír 5 2011 On the structure of complex Clifford algebra. Zbl 1279.15020Brackx, F.; De Schepper, H.; Souček, V. 1 2011 The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir 35 2010 Discrete function theory based on skew Weyl relations. Zbl 1201.30062De Ridder, Hilde; De Schepper, Hennie; Kähler, Uwe; Sommen, Frank 22 2010 On a special type of solutions of arbitrary higher spin Dirac operators. Zbl 1194.81082de Schepper, H.; Eelbode, D.; Raeymaekers, T. 11 2010 Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135Brackx, Fred; De Schepper, Hennie; Souček, Vladimír 10 2010 A Hermitian Cauchy formula on a domain with fractal boundary. Zbl 1201.30060Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 6 2010 Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces. Zbl 1191.15006Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie 5 2010 Hilbert transforms in Clifford analysis. Zbl 1203.94017Brackx, Fred; De Knock, Bram; De Schepper, Hennie 1 2010 On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis. Zbl 1182.30081Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F. 28 2009 A basic framework for discrete Clifford analysis. Zbl 1186.30044de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 13 2009 Discrete Clifford analysis: a germ of function theory. Zbl 1173.30034Brackx, F.; De Schepper, H.; Sommen, F.; Van de Voorde, L. 13 2009 Discrete Clifford analysis: an overview. Zbl 1171.30020Brackx, Fred; de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 8 2009 Generalized hermitian Clifford-Hermite polynomials and the associated wavelet transform. Zbl 1169.30023Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Sommen, Frank 5 2009 The Hilbert transform on the unit sphere in \(\mathbb R^{m}\). Zbl 1173.30033Brackx, F.; De Schepper, H. 1 2009 The Hermitian Clifford analysis toolbox. Zbl 1177.30064Brackx, Fred; De Schepper, Hennie; Sommen, Frank 51 2008 A matrix Hilbert transform in Hermitean Clifford analysis. Zbl 1148.44004Brackx, F.; de Knock, B.; de Schepper, H. 27 2008 Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. Zbl 1180.30052Blaya, Ricardo Abreu; Reyes, Juan Bory; Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Peña, Dixan Peña; Sommen, Frank 10 2008 Hermitian Clifford-Hermite wavelets: An alternative approach. Zbl 1132.42316Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F. 3 2008 The Hilbert transform on a smooth closed hypersurface. Zbl 1167.30029Brackx, F.; de Schepper, H. 2 2008 Orthogonality of the generalized Hermitean Clifford-Hermite polynomials. Zbl 1163.46025Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Eelbode, David; Sommen, Frank 1 2008 A new Hilbert transform in Hermitean Clifford analysis. Zbl 1158.30034Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F. 1 2008 Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019Brackx, Fred; Bureš, Jarolím; De Schepper, Hennie; Eelbode, David; Sommen, Frank; Souček, Vladímir 57 2007 Fundaments of Hermitean Clifford analysis. II: Splitting of \(h\)-monogenic equations. Zbl 1144.30019Brackx, F.; Bureš, J.; de Schepper, H.; Eelbode, D.; Sommen, F.; Souček, V. 53 2007 A theoretical framework for wavelet analysis in a Hermitean Clifford setting. Zbl 1149.30036Brackx, Fred; De Schepper, Hennie; Sommen, Frank 17 2007 Hermitean Clifford-Hermite polynomials. Zbl 1134.30039Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F. 8 2007 On the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1114.46029Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David 14 2006 Conjugate harmonic functions in Euclidean space: a spherical approach. Zbl 1105.46022Brackx, Fred; De Schepper, Hennie 9 2006 A new Hilbert transform on the unit sphere in \(\mathbb R^m\). Zbl 1121.44003Brackx, F.; De Schepper, H.; Eelbode, D. 8 2006 A calculus scheme for Clifford distributions. Zbl 1126.46027Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David 7 2006 Distributions in Clifford analysis: an overview. Zbl 1107.30036Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Sommen, Frank 5 2006 On the Fourier spectra of distributions in Clifford analysis. Zbl 1128.30014Brackx, Fred; De Knock, Bram; De Schepper, Hennie 4 2006 Generalized multidimensional Hilbert transforms in Clifford analysis. Zbl 1114.30050Brackx, Fred; De Knock, Bram; De Schepper, Hennie 1 2006 Hilbert-Dirac operators in Clifford analysis. Zbl 1070.30023Brackx, F.; De Schepper, H. 10 2005 Determination of the heat transfer coefficient during solidification of alloys. Zbl 1086.76073Slodička, Marián; De Schepper, Hennie 7 2005 Multi-vector spherical monogenics, spherical means and distributions in Clifford analysis. Zbl 1159.30027Brackx, Fred; De Knock, Bram; De Schepper, Hennie 3 2005 Some insights on the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1087.44503Brackx, Fred; de Knock, Bram; de Schepper, Hennie; Eelbode, David 2 2005 Convolution kernels in Clifford analysis: old and new. Zbl 1087.30043Brackx, Fred; De Schepper, Hennie 1 2005 On the Fourier transform of distributions and differential operators in Clifford analysis. Zbl 1067.30088Brackx, Fred; De Schepper, Hennie 3 2004 A specific family of Clifford distributions. Zbl 1108.30035Brackx, Fred; De Knock, Bram; De Schepper, Hennie 2 2004 Finite element approximation of a 2D-1D contact eigenvalue problem. Zbl 1062.65118De Schepper, Hennie 1 2004 On an inverse problem of pressure recovery arising from soil venting facilities. Zbl 1033.35145Slodička, M.; De Schepper, H. 7 2002 A nonlinear boundary value problem containing nonstandard boundary conditions. Zbl 1135.35341Slodička, M.; De Schepper, H. 1 2002 Finite element analysis of a coupling eigenvalue problem on overlapping domains. Zbl 0988.65100De Schepper, Hennie 3 2001 Recovery of the boundary data for a linear second order elliptic problem with a nonlocal boundary condition. Zbl 0977.65095De Schepper, Hennie; Slodička, Marián 2 2000 A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with nonlocal Dirichlet transition conditions. Zbl 0940.65118De Schepper, Hennie; Van Keer, Roger 1 1999 On a variational approximation method for 2nd order eigenvalue problems in a multi-component domain with nonlocal Dirichlet transition conditions. Zbl 0917.35026De Schepper, H.; Van Keer, R. 4 1998 On a finite element method for second order elliptic eigenvalue problems with nonlocal Dirichlet boundary conditions. Zbl 0883.35029De Schepper, H.; Van Keer, R. 3 1997 Finite element approximation for 2nd order elliptic eigenvalue problems with nonlocal boundary or transition conditions. Zbl 0874.65083Van Keer, R.; De Schepper, H. 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 57 De Schepper, Hennie 50 Sommen, Franciscus 48 Brackx, Fred F. 28 Eelbode, David 23 Bory Reyes, Juan 20 Abreu-Blaya, Ricardo 18 Lávička, Roman 18 Soucek, Vladimir 14 De Bie, Hendrik 13 Kähler, Uwe 11 De Ridder, Hilde 11 Raeymaekers, Tim 9 Peña Peña, Dixan 8 De Knock, Bram 8 Ku, Min 8 Ren, Guangbin 7 Cerejeiras, Paula 7 Gu, Longfei 6 Adán, Alí Guzmán 6 De Schepper, Nele 6 Li, Pingrun 6 Sabadini, Irene 6 Slodička, Marián 4 Andreev, Andrey Borissov 4 Ben Mabrouk, Anouar 4 Damiano, Alberto 4 Delanghe, Richard 4 Ding, Chao 4 Faustino, Nelson José Rodrigues 4 Gürlebeck, Klaus 4 Qian, Tao 4 Racheva, Milena R. 4 Schepper, Nele De 4 Van Lancker, Peter 4 Wang, Haiyan 3 Avetisyan, Karen L. 3 Delgado, Briceyda B. 3 He, Fuli 3 Hitzer, Eckhard 3 Luna-Elizarrarás, María Elena 3 Moreno García, Tania 3 Porter, R. Michael 3 Roels, Matthias 3 Ryan, John A. 3 Shapiro, Michael V. 3 Słota, Damian 3 Van Keer, Roger 3 Vieira, Nelson 3 Walter, Raymond 2 Arfaoui, Sabrine 2 Banouh, Hicham 2 Colombo, Fabrizio 2 Dang, Pei 2 Fu, Zunwei 2 Gaboriaud, Julien 2 Gao, Long 2 Hommel, Angela 2 Legatiuk, Anastasiia 2 Morais, João Pedro 2 Pishbin, Saeed 2 Sapagovas, Mifodijus 2 Vinet, Luc 2 Wang, Daoshun 2 Wang, Liping 2 Wutzig, Michael 2 Yang, Pei 2 Yang, Yan 2 Zhu, Zeping 1 Aceto, Lidia 1 Adamowicz, Tomasz 1 Ávila-Ávila, Rafael 1 Baaske, Franka 1 Batard, Thomas 1 Berikelashvili, Givi 1 Bernstein, Swanhild 1 Berthier, Michel 1 Bischof, Jared 1 Bock, Sebastian 1 Brackx, Freddy 1 Bureš, Jarolím 1 Cao, Lixia 1 Cao, Wenming 1 Caramuta, Pietro 1 Chen, Lin 1 Chen, Lin 1 Chen, Lin 1 Chen, Qiuhui 1 Chen, Zhihua 1 Cheng, Wanqing 1 Cialdea, Alberto 1 Ciubotaru, Dan 1 Clarysse, Patrick 1 Constales, Denis 1 Coulembier, Kevin 1 Davidson, Jane H. 1 De Martino, Marcelo 1 Delachartre, Philippe 1 Dinh, Doan Cong 1 Du, Jinyuan 1 Fan, Xingya ...and 85 more Authors all top 5 Cited in 64 Serials 32 Advances in Applied Clifford Algebras 30 Complex Analysis and Operator Theory 19 Mathematical Methods in the Applied Sciences 15 Journal of Mathematical Analysis and Applications 12 Complex Variables and Elliptic Equations 8 Boundary Value Problems 7 Applied Mathematics and Computation 4 Journal of Mathematical Physics 4 The Journal of Fourier Analysis and Applications 4 Journal of Inequalities and Applications 3 Journal of Computational and Applied Mathematics 3 Acta Mathematica Sinica. English Series 3 Computational Methods and Function Theory 2 Computers & Mathematics with Applications 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Journal of Algebra 2 Journal of Approximation Theory 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Chinese Annals of Mathematics. Series B 2 Annals of Global Analysis and Geometry 2 Revista Matemática Iberoamericana 2 International Journal of Mathematics 2 Potential Analysis 2 Integral Transforms and Special Functions 2 Journal of Difference Equations and Applications 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Advances in Difference Equations 2 Science China. Mathematics 2 Journal of Applied Analysis and Computation 1 International Journal of Heat and Mass Transfer 1 Nuclear Physics. B 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Numerical Analysis 1 Tokyo Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal of Mathematical Sciences (New York) 1 Mathematical Problems in Engineering 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Differential Equations 1 Advances in Geometry 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Inverse Problems in Science and Engineering 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Geosciences 1 Science China. Information Sciences 1 Journal of Function Spaces all top 5 Cited in 42 Fields 167 Functions of a complex variable (30-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 32 Partial differential equations (35-XX) 26 Numerical analysis (65-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Special functions (33-XX) 13 Difference and functional equations (39-XX) 13 Functional analysis (46-XX) 12 Integral transforms, operational calculus (44-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 9 Potential theory (31-XX) 8 Nonassociative rings and algebras (17-XX) 8 Integral equations (45-XX) 7 Topological groups, Lie groups (22-XX) 7 Information and communication theory, circuits (94-XX) 6 Operator theory (47-XX) 5 Group theory and generalizations (20-XX) 4 Abstract harmonic analysis (43-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year