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1

Generalized Hermitean Clifford–Hermite polynomials and the associated wavelet transform

Fred Brackx, Hennie De Schepper, Nele De Schepper, Frank Sommen

Journal:

Mathematical Methods in the Applied Sciences

Year:

2009

Language:

english

File:

PDF, 232 KB

english, 2009

2

Cauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis

Ricardo Abreu-Blaya, Juan Bory-Reyes, Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Complex Analysis and Operator Theory

Year:

2012

Language:

english

File:

PDF, 250 KB

english, 2012

3

Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis

Abreu-Blaya, Ricardo, Bory-Reyes, Juan, Brackx, Fred, De Schepper, Hennie, Sommen, Frank

Journal:

Complex Variables and Elliptic Equations

Year:

2013

Language:

english

File:

PDF, 162 KB

english, 2013

4

Hermitean Cauchy Integral Decomposition of Continuous Functions on Hypersurfaces

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

Journal:

Boundary Value Problems

Year:

2007

Language:

english

File:

PDF, 166 KB

english, 2007

5

Fundaments of Hermitean Clifford Analysis Part I: Complex Structure

Fred Brackx, Jarolím Bureš, Hennie De Schepper, David Eelbode, Frank Sommen, Vladímir Souček

Journal:

Complex Analysis and Operator Theory

Year:

2007

Language:

english

File:

PDF, 255 KB

english, 2007

6

On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis

Fred Brackx, Bram De Knock, Hennie De Schepper

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 197 KB

english, 2007

7

Determination of the heat-transfer coefficient during solidification of alloys

Marián Slodička, Hennie De Schepper

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 297 KB

english, 2005

8

A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with non-local Dirichlet transition conditions

Hennie De Schepper, Roger Van Keer

Journal:

Journal of Computational and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 146 KB

english, 1999

9

The Hermitian Clifford Analysis Toolbox

Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Advances in Applied Clifford Algebras

Year:

2008

Language:

english

File:

PDF, 397 KB

english, 2008

10

Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis

Ricardo Abreu-Blaya, Juan Bory-Reyes, Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Acta Mathematica Sinica, English Series (Springer)

Year:

2012

Language:

english

File:

PDF, 254 KB

english, 2012

11

A Goursat Decomposition for Polyharmonic Functions in Euclidean Space

Fred Brackx, Richard Delanghe, Hennie De Schepper…

Journal:

Advances in Applied Clifford Algebras

Year:

2012

Language:

english

File:

PDF, 285 KB

english, 2012

12

Taylor Series Expansion in Discrete Clifford Analysis

Hilde De Ridder, Hennie De Schepper, Frank Sommen

Journal:

Complex Analysis and Operator Theory

Year:

2014

Language:

english

File:

PDF, 500 KB

english, 2014

13

Boundary Value Problems on Fractal Hypersurfaces for the Quaternionic Hermitian System in\(\mathbb {R}^{4n}\)

Abreu-Blaya, Ricardo, Bory-Reyes, Juan, Brackx, Fred, De Schepper, Hennie, Moreno-García, Tania, Sommen, Frank

Journal:

Complex Analysis and Operator Theory

Year:

2015

Language:

english

File:

PDF, 288 KB

english, 2015

14

Higher order Borel-Pompeiu representations in Clifford analysis

Reyes, Juan Bory, Schepper, Hennie De, Adán, Alí Guzmán, Sommen, Frank

Journal:

Mathematical Methods in the Applied Sciences

Year:

2015

Language:

english

File:

PDF, 183 KB

english, 2015

15

On a Mixed Fischer Decomposition in Clifford Analysis

Juan Bory Reyes,Hennie De Schepper…

Journal:

Complex Analysis and Operator Theory

Year:

2017

Language:

english

File:

PDF, 501 KB

english, 2017

16

The Radial Algebra as an Abstract Framework for Orthogonal and Hermitian Clifford Analysis

Hennie De Schepper,Alí Guzmán Adán,Frank Sommen

Journal:

Complex Analysis and Operator Theory

Year:

2017

Language:

english

File:

PDF, 654 KB

english, 2017

17

Hermitian Clifford Analysis on Superspace

De Schepper, Hennie, Adán, Alí Guzmán, Sommen, Frank

Journal:

Advances in Applied Clifford Algebras

Year:

2018

Language:

english

File:

PDF, 675 KB

english, 2018

18

The l.s.c. regularization of the Signorini problem in plasticity

Jaroslaw L. Bojarski, Hennie De Schepper

Journal:

Mathematical Methods in the Applied Sciences

Year:

2002

Language:

english

File:

PDF, 178 KB

english, 2002

19

Convolution kernels in Clifford analysis: old and new

Fred Brackx, Hennie De Schepper

Journal:

Mathematical Methods in the Applied Sciences

Year:

2005

Language:

english

File:

PDF, 107 KB

english, 2005

20

On the interplay between the Hilbert transform and conjugate harmonic functions

Fred Brackx, Bram De Knock, Hennie De Schepper, David Eelbode

Journal:

Mathematical Methods in the Applied Sciences

Year:

2006

Language:

english

File:

PDF, 148 KB

english, 2006

21

Editorial

Swanhild Bernstein, Hennie De Schepper

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 39 KB

english, 2007

22

Numerical modelling of convection dominated transport coupled with density driven flow in porous media

Peter Frolkovič, Hennie De Schepper

Journal:

Advances in Water Resources

Year:

2000

Language:

english

File:

PDF, 420 KB

english, 2000

23

Finite element analysis of a coupling eigenvalue problem on overlapping domains

Hennie De Schepper

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 153 KB

english, 2001

24

On the numerical approximation of some types of nonstandard second-order eigenvalue problems for vector valued functions

Hennie De Schepper, Roger Van Keer

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 147 KB

english, 2000

25

A variational approximation method for 2nd order elliptic eigenvalue problems in a composite structure with nonstandard boundary conditions

Roger Van Keer, Hennie De Schepper

Journal:

Year:

1998

Language:

english

File:

PDF, 668 KB

english, 1998

26

Finite Element Methods for Eigenvalue Problems on a Rectangle with (Semi-) Periodic Boundary Conditions on a Pair of Adjacent Sides

Hennie De Schepper

Journal:

Year:

2000

Language:

english

File:

PDF, 191 KB

english, 2000

27

Multi–vector Spherical Monogenics, Spherical Means and Distributions in Clifford Analysis

Fred Brackx, Bram De Knock, Hennie De Schepper

Journal:

Acta Mathematica Sinica, English Series (Springer)

Year:

2005

Language:

english

File:

PDF, 224 KB

english, 2005

28

On the Fourier Spectra of Distributions in Clifford Analysis

Fred Brackx, Bram De Knock, Hennie De Schepper

Journal:

Chinese Annals of Mathematics, Series B

Year:

2006

Language:

english

File:

PDF, 188 KB

english, 2006

29

Boundary value problems associated to a Hermitian Helmholtz equation

Ricardo Abreu-Blaya, Juan Bory-Reyes, Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 205 KB

english, 2012

30

Boundary value problems for the quaternionic Hermitian system in

Ricardo Abreu-Blaya, Juan Bory-Reyes, Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Boundary Value Problems

Year:

2012

Language:

english

File:

PDF, 217 KB

english, 2012

31

A Basic Framework for Discrete Clifford Analysis

De Schepper, Hennie, Sommen, Frank, de Voorde, Liesbet Van

Journal:

Experimental Mathematics

Year:

2009

Language:

english

File:

PDF, 208 KB

english, 2009

32

On the Fourier transform of distributions and differential operators in Clifford analysis

Brackx, Fred, De Schepper, Hennie

Journal:

Complex Variables and Elliptic Equations

Year:

2004

Language:

english

File:

PDF, 174 KB

english, 2004

33

Conjugate Harmonic Functions in Euclidean Space: a Spherical Approach

Fred Brackx, Hennie De Schepper

Journal:

Computational Methods and Function Theory

Year:

2006

Language:

english

File:

PDF, 221 KB

english, 2006

34

Dirichlet type problems in Hermitian Clifford analysis

Abreu-Blaya, Ricardo, Bory-Reyes, Juan, Brackx, Fred, De Schepper, Hennie, Moreno-García, Tania, Sommen, Frank

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 308 KB

english, 2014

35

Finite Element Approximation of a 2D–1D Contact Eigenvalue Problem

De Schepper, Hennie

Journal:

Numerical Functional Analysis and Optimization

Year:

2005

Language:

english

File:

PDF, 235 KB

english, 2005

36

Orthogonality of the generalized Hermitean Clifford–Hermite polynomials

Brackx, Fred, De Schepper, Hennie, De Schepper, Nele, Eelbode, David, Sommen, Frank

Journal:

Integral Transforms and Special Functions

Year:

2008

Language:

english

File:

PDF, 228 KB

english, 2008

37

Hermitean Téodorescu Transform Decomposition of Continuous Matrix Functions on Fractal Hypersurfaces

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

Journal:

Boundary Value Problems

Year:

2011

Language:

english

File:

PDF, 322 KB

english, 2011

38

AIP Conference Proceedings [American Institute of Physics NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008 - Psalidi, Kos (Greece) (16–20 September 2008)] - Explicit Formulae for Monogenic Projections

Brackx, Fred, De Schepper, Hennie, Eelbode, David, Souček, Vladimír

Year:

2008

Language:

english

File:

PDF, 279 KB

english, 2008

39

AIP Conference Proceedings [AIP ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 - Rhodes (Greece) (19–25 September 2009)] - Gel’fand-Tsetlin Procedure for the Construction of Orthogonal Bases in Hermitean Clifford Analysis

Brackx, Fred, De Schepper, Hennie, Lávička, Roman, Souček, Vladimír, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2010

Language:

english

File:

PDF, 248 KB

english, 2010

40

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics - Kos, Greece (19–25 September 2012)] - Selfdual 2-forms in dimension 4 and their Fischer decomposition

Brackx, Fred, De Schepper, Hennie, Krump, Lukáš, Souček, Vladimír

Year:

2012

Language:

english

File:

PDF, 368 KB

english, 2012

41

XXXth International Colloquium on Group Theoretical Methods in Physics (ICGTMP) (Group30)

Brackx, Fred, De Schepper, Hennie, Van der Jeugt, Joris

Journal:

Journal of Physics Conference Series

Year:

2015

Language:

english

File:

PDF, 729 KB

english, 2015

42

Fischer decomposition for osp(4|2)-monogenics in quaternionic Clifford analysis

Brackx, Fred, Schepper, Hennie De, Eelbode, David, Lávička, Roman, Souček, Vladimir

Journal:

Mathematical Methods in the Applied Sciences

Year:

2016

Language:

english

File:

PDF, 396 KB

english, 2016

43

Spin actions in Euclidean and Hermitian Clifford analysis in superspace

De Schepper, Hennie, Adán, Alí Guzmán, Sommen, Frank

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 534 KB

english, 2017

44

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics - Halkidiki, (Greece) (19–25 September 2011)] - Explicit Penrose Transform for Massless Field Equations of General Spin in Dimension Four

Brackx, Fred, De Schepper, Hennie, Krump, Lukáš, Souček, Vladimír, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch., Anastassi, Zacharias

Year:

2011

Language:

english

File:

PDF, 218 KB

english, 2011

45

Generalized multidimensional Hilbert transforms in Clifford analysis

Brackx, Fred, De Knock, Bram, De Schepper, Hennie

Journal:

International Journal of Mathematics and Mathematical Sciences

Year:

2006

Language:

english

File:

PDF, 1.92 MB

english, 2006