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De Schepper, Hennie

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Author ID: de-schepper.hennie Recent zbMATH articles by "De Schepper, Hennie"
Published as: De Schepper, Hennie; De Schepper, H.; de Schepper, H.; de Schepper, Hennie
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80 Publications have been cited 644 times in 240 Documents Cited by Year
Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019
Brackx, 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 1144.30019
Brackx, F.; Bureš, J.; de Schepper, H.; Eelbode, D.; Sommen, F.; Souček, V.
53
2007
The Hermitian Clifford analysis toolbox. Zbl 1177.30064
Brackx, Fred; De Schepper, Hennie; Sommen, Frank
51
2008
The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061
Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir
35
2010
On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis. Zbl 1182.30081
Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F.
28
2009
A matrix Hilbert transform in Hermitean Clifford analysis. Zbl 1148.44004
Brackx, F.; de Knock, B.; de Schepper, H.
27
2008
Discrete function theory based on skew Weyl relations. Zbl 1201.30062
De Ridder, Hilde; De Schepper, Hennie; Kähler, Uwe; Sommen, Frank
23
2010
A theoretical framework for wavelet analysis in a Hermitean Clifford setting. Zbl 1149.30036
Brackx, Fred; De Schepper, Hennie; Sommen, Frank
17
2007
On the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1114.46029
Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David
14
2006
The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
14
2011
Discrete Clifford analysis: a germ of function theory. Zbl 1173.30034
Brackx, F.; De Schepper, H.; Sommen, F.; Van de Voorde, L.
14
2009
A basic framework for discrete Clifford analysis. Zbl 1186.30044
de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet
13
2009
Cauchy integral formulae in quaternionic Hermitean Clifford analysis. Zbl 1275.30017
Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank
12
2012
On a special type of solutions of arbitrary higher spin Dirac operators. Zbl 1194.81082
de Schepper, H.; Eelbode, D.; Raeymaekers, T.
11
2010
The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis. Zbl 1255.30050
De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank
11
2011
Fueter polynomials in discrete Clifford analysis. Zbl 1258.30024
De Ridder, H.; De Schepper, H.; Sommen, F.
11
2012
Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135
Brackx, Fred; De Schepper, Hennie; Souček, Vladimír
11
2010
Hilbert-Dirac operators in Clifford analysis. Zbl 1070.30023
Brackx, F.; De Schepper, H.
10
2005
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
10
2008
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
10
2012
Conjugate harmonic functions in Euclidean space: a spherical approach. Zbl 1105.46022
Brackx, Fred; De Schepper, Hennie
9
2006
Taylor series expansion in discrete Clifford analysis. Zbl 1292.30021
De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank
9
2014
A new Hilbert transform on the unit sphere in \(\mathbb R^m\). Zbl 1121.44003
Brackx, F.; De Schepper, H.; Eelbode, D.
8
2006
Hermitean Clifford-Hermite polynomials. Zbl 1134.30039
Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F.
8
2007
Discrete Clifford analysis: an overview. Zbl 1171.30020
Brackx, Fred; de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet
8
2009
Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V.
8
2014
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.
7
2010
On an inverse problem of pressure recovery arising from soil venting facilities. Zbl 1033.35145
Slodička, M.; De Schepper, H.
7
2002
Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044
Bory Reyes, Juan; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank
7
2016
A calculus scheme for Clifford distributions. Zbl 1126.46027
Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David
7
2006
Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
7
2011
Determination of the heat transfer coefficient during solidification of alloys. Zbl 1086.76073
Slodička, Marián; De Schepper, Hennie
7
2005
Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V.
6
2014
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
Distributions in Clifford analysis: an overview. Zbl 1107.30036
Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Sommen, Frank
5
2006
Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068
Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír
5
2011
Spin actions in Euclidean and Hermitian Clifford analysis in superspace. Zbl 1375.30072
De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank
5
2018
Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085
Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir
4
2016
On a variational approximation method for 2nd order eigenvalue problems in a multi-component domain with nonlocal Dirichlet transition conditions. Zbl 0917.35026
De Schepper, H.; Van Keer, R.
4
1998
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
4
2013
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
4
2012
On fundamental solutions in Clifford analysis. Zbl 1291.30247
Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M.
4
2012
Generalized hermitian Clifford-Hermite polynomials and the associated wavelet transform. Zbl 1169.30023
Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Sommen, Frank
4
2009
On a chain of harmonic and monogenic potentials in Euclidean half-space. Zbl 1318.30077
Brackx, F.; De Bie, H.; De Schepper, H.
3
2014
Introductory Clifford analysis. Zbl 1330.30008
Sommen, Frank; De Schepper, Hennie
3
2015
Finite element analysis of a coupling eigenvalue problem on overlapping domains. Zbl 0988.65100
De Schepper, Hennie
3
2001
On a finite element method for second order elliptic eigenvalue problems with nonlocal Dirichlet boundary conditions. Zbl 0883.35029
De Schepper, H.; Van Keer, R.
3
1997
Multi-vector spherical monogenics, spherical means and distributions in Clifford analysis. Zbl 1159.30027
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
3
2005
On the Fourier spectra of distributions in Clifford analysis. Zbl 1128.30014
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
3
2006
On the Fourier transform of distributions and differential operators in Clifford analysis. Zbl 1067.30088
Brackx, Fred; De Schepper, Hennie
3
2004
Hermitian Clifford-Hermite wavelets: An alternative approach. Zbl 1132.42316
Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F.
3
2008
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
Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems. Zbl 1251.30053
Brackx, F.; Delanghe, R.; De Schepper, H.
3
2012
The Hilbert transform on a smooth closed hypersurface. Zbl 1167.30029
Brackx, F.; de Schepper, H.
3
2008
Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V.
3
2017
The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis. Zbl 1375.30071
De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank
3
2017
Harmonic and monogenic potentials in low dimensional Euclidean half-space. Zbl 1300.30088
Brackx, F.; De Bie, H.; De Schepper, H.
2
2014
Some insights on the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1087.44503
Brackx, Fred; de Knock, Bram; de Schepper, Hennie; Eelbode, David
2
2005
Recovery of the boundary data for a linear second order elliptic problem with a nonlocal boundary condition. Zbl 0977.65095
De Schepper, Hennie; Slodička, Marián
2
2000
A specific family of Clifford distributions. Zbl 1108.30035
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
2
2004
Distributional boundary values of harmonic potentials in Euclidean half-space as fundamental solutions of convolution operators in Clifford analysis. Zbl 1272.30068
Brackx, Fred; De Bie, Hendrik; De Schepper, Hennie
2
2013
Twisted higher spin Dirac operators. Zbl 1285.30029
De Schepper, H.; Eelbode, D.; Raeymaekers, T.
2
2014
Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
2
2015
A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with nonlocal Dirichlet transition conditions. Zbl 0940.65118
De Schepper, Hennie; Van Keer, Roger
1
1999
Hilbert transforms in Clifford analysis. Zbl 1203.94017
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
1
2010
A nonlinear boundary value problem containing nonstandard boundary conditions. Zbl 1135.35341
Slodička, M.; De Schepper, H.
1
2002
Fischer decomposition for massless fields of spin 1 in dimension 4. Zbl 1468.30082
Brackx, F.; de Schepper, H.; Krump, L.; Souček, V.
1
2018
On a mixed Fischer decomposition in Clifford analysis. Zbl 1364.30055
Bory Reyes, Juan; De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank
1
2017
Hermitian Clifford analysis on superspace. Zbl 1394.30034
De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank
1
2018
Convolution kernels in Clifford analysis: old and new. Zbl 1087.30043
Brackx, Fred; De Schepper, Hennie
1
2005
Finite element approximation for 2nd order elliptic eigenvalue problems with nonlocal boundary or transition conditions. Zbl 0874.65083
Van Keer, R.; De Schepper, H.
1
1997
Finite element approximation of a 2D-1D contact eigenvalue problem. Zbl 1062.65118
De Schepper, Hennie
1
2004
Generalized multidimensional Hilbert transforms in Clifford analysis. Zbl 1114.30050
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
1
2006
On the structure of complex Clifford algebra. Zbl 1279.15020
Brackx, F.; De Schepper, H.; Souček, V.
1
2011
A new Hilbert transform in Hermitean Clifford analysis. Zbl 1158.30034
Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F.
1
2008
The Teodorescu operator in Clifford analysis. Zbl 1254.30080
Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M.
1
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
1
2012
Orthogonality of the generalized Hermitean Clifford-Hermite polynomials. Zbl 1163.46025
Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Eelbode, David; Sommen, Frank
1
2008
The Hilbert transform on the unit sphere in \(\mathbb R^{m}\). Zbl 1173.30033
Brackx, F.; De Schepper, H.
1
2009
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
1
2014
Spin actions in Euclidean and Hermitian Clifford analysis in superspace. Zbl 1375.30072
De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank
5
2018
Fischer decomposition for massless fields of spin 1 in dimension 4. Zbl 1468.30082
Brackx, F.; de Schepper, H.; Krump, L.; Souček, V.
1
2018
Hermitian Clifford analysis on superspace. Zbl 1394.30034
De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank
1
2018
Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V.
3
2017
The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis. Zbl 1375.30071
De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank
3
2017
On a mixed Fischer decomposition in Clifford analysis. Zbl 1364.30055
Bory Reyes, Juan; De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank
1
2017
Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044
Bory Reyes, Juan; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank
7
2016
Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085
Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir
4
2016
Introductory Clifford analysis. Zbl 1330.30008
Sommen, Frank; De Schepper, Hennie
3
2015
Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
2
2015
Taylor series expansion in discrete Clifford analysis. Zbl 1292.30021
De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank
9
2014
Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V.
8
2014
Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021
Brackx, 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 1318.30077
Brackx, F.; De Bie, H.; De Schepper, H.
3
2014
Harmonic and monogenic potentials in low dimensional Euclidean half-space. Zbl 1300.30088
Brackx, F.; De Bie, H.; De Schepper, H.
2
2014
Twisted higher spin Dirac operators. Zbl 1285.30029
De Schepper, H.; Eelbode, D.; Raeymaekers, T.
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
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
4
2013
Distributional boundary values of harmonic potentials in Euclidean half-space as fundamental solutions of convolution operators in Clifford analysis. Zbl 1272.30068
Brackx, Fred; De Bie, Hendrik; De Schepper, Hennie
2
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
12
2012
Fueter polynomials in discrete Clifford analysis. Zbl 1258.30024
De Ridder, H.; De Schepper, H.; Sommen, F.
11
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
10
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
4
2012
On fundamental solutions in Clifford analysis. Zbl 1291.30247
Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M.
4
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
Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems. Zbl 1251.30053
Brackx, F.; Delanghe, R.; De Schepper, H.
3
2012
The Teodorescu operator in Clifford analysis. Zbl 1254.30080
Brackx, F.; De Schepper, H.; Luna-Elizarrarás, M. E.; Shapiro, M.
1
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
1
2012
The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
14
2011
The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis. Zbl 1255.30050
De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank
11
2011
Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
7
2011
Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068
Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír
5
2011
On the structure of complex Clifford algebra. Zbl 1279.15020
Brackx, F.; De Schepper, H.; Souček, V.
1
2011
The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061
Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir
35
2010
Discrete function theory based on skew Weyl relations. Zbl 1201.30062
De Ridder, Hilde; De Schepper, Hennie; Kähler, Uwe; Sommen, Frank
23
2010
On a special type of solutions of arbitrary higher spin Dirac operators. Zbl 1194.81082
de Schepper, H.; Eelbode, D.; Raeymaekers, T.
11
2010
Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135
Brackx, Fred; De Schepper, Hennie; Souček, Vladimír
11
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.
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
Hilbert transforms in Clifford analysis. Zbl 1203.94017
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
1
2010
On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis. Zbl 1182.30081
Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F.
28
2009
Discrete Clifford analysis: a germ of function theory. Zbl 1173.30034
Brackx, F.; De Schepper, H.; Sommen, F.; Van de Voorde, L.
14
2009
A basic framework for discrete Clifford analysis. Zbl 1186.30044
de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet
13
2009
Discrete Clifford analysis: an overview. Zbl 1171.30020
Brackx, Fred; de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet
8
2009
Generalized hermitian Clifford-Hermite polynomials and the associated wavelet transform. Zbl 1169.30023
Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Sommen, Frank
4
2009
The Hilbert transform on the unit sphere in \(\mathbb R^{m}\). Zbl 1173.30033
Brackx, F.; De Schepper, H.
1
2009
The Hermitian Clifford analysis toolbox. Zbl 1177.30064
Brackx, Fred; De Schepper, Hennie; Sommen, Frank
51
2008
A matrix Hilbert transform in Hermitean Clifford analysis. Zbl 1148.44004
Brackx, F.; de Knock, B.; de Schepper, H.
27
2008
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
10
2008
Hermitian Clifford-Hermite wavelets: An alternative approach. Zbl 1132.42316
Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F.
3
2008
The Hilbert transform on a smooth closed hypersurface. Zbl 1167.30029
Brackx, F.; de Schepper, H.
3
2008
A new Hilbert transform in Hermitean Clifford analysis. Zbl 1158.30034
Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F.
1
2008
Orthogonality of the generalized Hermitean Clifford-Hermite polynomials. Zbl 1163.46025
Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Eelbode, David; Sommen, Frank
1
2008
Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019
Brackx, 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 1144.30019
Brackx, 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 1149.30036
Brackx, Fred; De Schepper, Hennie; Sommen, Frank
17
2007
Hermitean Clifford-Hermite polynomials. Zbl 1134.30039
Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F.
8
2007
On the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1114.46029
Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David
14
2006
Conjugate harmonic functions in Euclidean space: a spherical approach. Zbl 1105.46022
Brackx, Fred; De Schepper, Hennie
9
2006
A new Hilbert transform on the unit sphere in \(\mathbb R^m\). Zbl 1121.44003
Brackx, F.; De Schepper, H.; Eelbode, D.
8
2006
A calculus scheme for Clifford distributions. Zbl 1126.46027
Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Eelbode, David
7
2006
Distributions in Clifford analysis: an overview. Zbl 1107.30036
Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Sommen, Frank
5
2006
On the Fourier spectra of distributions in Clifford analysis. Zbl 1128.30014
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
3
2006
Generalized multidimensional Hilbert transforms in Clifford analysis. Zbl 1114.30050
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
1
2006
Hilbert-Dirac operators in Clifford analysis. Zbl 1070.30023
Brackx, F.; De Schepper, H.
10
2005
Determination of the heat transfer coefficient during solidification of alloys. Zbl 1086.76073
Slodička, Marián; De Schepper, Hennie
7
2005
Multi-vector spherical monogenics, spherical means and distributions in Clifford analysis. Zbl 1159.30027
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
3
2005
Some insights on the interplay between the Hilbert transform and conjugate harmonic functions. Zbl 1087.44503
Brackx, Fred; de Knock, Bram; de Schepper, Hennie; Eelbode, David
2
2005
Convolution kernels in Clifford analysis: old and new. Zbl 1087.30043
Brackx, Fred; De Schepper, Hennie
1
2005
On the Fourier transform of distributions and differential operators in Clifford analysis. Zbl 1067.30088
Brackx, Fred; De Schepper, Hennie
3
2004
A specific family of Clifford distributions. Zbl 1108.30035
Brackx, Fred; De Knock, Bram; De Schepper, Hennie
2
2004
Finite element approximation of a 2D-1D contact eigenvalue problem. Zbl 1062.65118
De Schepper, Hennie
1
2004
On an inverse problem of pressure recovery arising from soil venting facilities. Zbl 1033.35145
Slodička, M.; De Schepper, H.
7
2002
A nonlinear boundary value problem containing nonstandard boundary conditions. Zbl 1135.35341
Slodička, M.; De Schepper, H.
1
2002
Finite element analysis of a coupling eigenvalue problem on overlapping domains. Zbl 0988.65100
De Schepper, Hennie
3
2001
Recovery of the boundary data for a linear second order elliptic problem with a nonlocal boundary condition. Zbl 0977.65095
De 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 0940.65118
De 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 0917.35026
De Schepper, H.; Van Keer, R.
4
1998
On a finite element method for second order elliptic eigenvalue problems with nonlocal Dirichlet boundary conditions. Zbl 0883.35029
De Schepper, H.; Van Keer, R.
3
1997
Finite element approximation for 2nd order elliptic eigenvalue problems with nonlocal boundary or transition conditions. Zbl 0874.65083
Van Keer, R.; De Schepper, H.
1
1997
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Cited by 178 Authors

58 De Schepper, Hennie
50 Sommen, Franciscus
49 Brackx, Fred F.
29 Eelbode, David
25 Abreu-Blaya, Ricardo
24 Bory Reyes, Juan
19 Lávička, Roman
19 Soucek, Vladimir
13 De Bie, Hendrik
13 Kähler, Uwe
11 De Ridder, Hilde
11 Raeymaekers, Tim
9 Peña Peña, Dixan
9 Ren, Guangbin
8 De Knock, Bram
8 Ku, Min
8 Li, Pingrun
7 Cerejeiras, Paula
7 Gu, Longfei
6 Adán, Alí Guzmán
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 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 Shapiro, Michael V.
3 Słota, Damian
3 Van Keer, Roger
3 Vieira, Nelson
3 Walter, Raymond
3 Zhu, Zeping
2 Arfaoui, Sabrine
2 Banouh, Hicham
2 Colombo, Fabrizio
2 Constales, Denis
2 Dang, Pei
2 De Schepper, Nele
2 Fu, Zunwei
2 Gaboriaud, Julien
2 Gao, Long
2 Hommel, Angela
2 Legatiuk, Anastasiia
2 Morais, João Pedro
2 Pérez-de La Rosa, Marco Antonio
2 Pishbin, Saeed
2 Santiesteban, Daniel Alfonso
2 Sapagovas, Mifodijus
2 Schepper, Nele De
2 Serrano Ricardo, José Luis
2 Sigarreta Almira, José María
2 Vinet, Luc
2 Wang, Daoshun
2 Wang, Liping
2 Wutzig, Michael
2 Yang, Pei
2 Yang, Yan
1 Adamowicz, Tomasz
1 Ávila-Ávila, Rafael
1 Baaske, Franka
1 Batard, Thomas
1 Berikelashvili, Givi
1 Bernstein, Swanhild
1 Berthier, Michel
1 Bock, Sebastian
1 Bureš, Jarolím
1 Cao, Lixia
1 Cao, Wenming
1 Caramuta, Pietro
1 Chen, Qiuhui
1 Chen, Zhihua
1 Cheng, Wanqing
1 Cialdea, Alberto
1 Ciubotaru, Dan
1 Clarysse, Patrick
1 Coulembier, Kevin
1 Davidson, Jane H.
1 De Martino, Marcelo
1 Delachartre, Philippe
1 Dinh, Doan Cong
1 Du, Jinyuan
1 Fan, Xingya
1 Feng, Jiqiang
1 Fernández Guasti, Manuel
1 Ferreira, Milton
...and 78 more Authors
all top 5

Cited in 67 Serials

36 Advances in Applied Clifford Algebras
32 Complex Analysis and Operator Theory
19 Mathematical Methods in the Applied Sciences
14 Journal of Mathematical Analysis and Applications
12 Complex Variables and Elliptic Equations
8 Applied Mathematics and Computation
8 Boundary Value Problems
6 Journal of Inequalities and Applications
4 Journal of Mathematical Physics
4 The Journal of Fourier Analysis 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 Analysis and Mathematical Physics
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 Annalen
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 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 Georgian Mathematical Journal
1 Fractals
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

179 Functions of a complex variable (30-XX)
35 Partial differential equations (35-XX)
32 Linear and multilinear algebra; matrix theory (15-XX)
25 Numerical analysis (65-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
16 Several complex variables and analytic spaces (32-XX)
14 Difference and functional equations (39-XX)
14 Integral transforms, operational calculus (44-XX)
13 Special functions (33-XX)
13 Functional analysis (46-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Quantum theory (81-XX)
10 Potential theory (31-XX)
9 Nonassociative rings and algebras (17-XX)
9 Topological groups, Lie groups (22-XX)
9 Integral equations (45-XX)
7 Operator theory (47-XX)
7 Information and communication theory, circuits (94-XX)
5 Group theory and generalizations (20-XX)
4 Abstract harmonic analysis (43-XX)
4 Differential geometry (53-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Real functions (26-XX)
3 Ordinary differential equations (34-XX)
2 Combinatorics (05-XX)
2 Number theory (11-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