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Researcher
Fred Brackx
Profile
Projects
Publications
Activities
Awards & Distinctions
169
Results
2020
The Cauchy Integral Formula in hermitian, quaternionic and osp(4|2) Clifford analysis
Fred Brackx
Hennie De Schepper
Roman Lávička
Vladimir Souček
A1
Journal Article
in
COMPUTATIONAL METHODS AND FUNCTION THEORY
2020
Trisectie van een hoek : van Euclides tot origami
Fred Brackx
Hilde De Ridder
A4
Journal Article
in
WISKUNDE & ONDERWIJS
2020
2019
Cauchy’s formula in Clifford analysis : an overview
Fred Brackx
Hennie De Schepper
Roman Lavicka
Vladimir Soucek
Bookchapter
in
Topics in Clifford analysis : special volume in honor of Wolfgang Sprößig
2019
Radial and angular derivatives of distributions
Fred Brackx
C3
Conference
2019
2018
Fischer decomposition for massless fields of spin 1 in dimension 4
Fred Brackx
Hennie De Schepper
Lukas Krump
Vladimir Souček
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2018
Fischer decomposition for the symplectic group
Fred Brackx
Hennie De Schepper
David Eelbode
Roman Lávička
Vladimir Souček
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2018
2017
Fundaments of quaternionic Clifford analysis II : splitting of equations
Fred Brackx
Hennie De Schepper
David Eelbode
Roman Lávička
Vladimir Souček
A1
Journal Article
in
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
2017
On the radial derivative of the delta distribution
Fred Brackx
Franciscus Sommen
Jasson Vindas Diaz
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2017
2016
Fischer decomposition for osp(4|2)-monogenics in quaternionic Clifford analysis
Fred Brackx
Hennie De Schepper
David Eelbode
Roman Lávička
Vladimir Souček
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2016
2015
30th International colloquium on group theoretical methods in physics (Group30), 14–18 July 2014, Ghent, Belgium
Book editor
2015
Boundary value problems on fractal hypersurfaces for the quaternionic hermitian system in R-4n
Ricardo Abreu-Blaya
Juan Bory-Reyes
Fred Brackx
Hennie De Schepper
Tania Moreno-Garcia
Franciscus Sommen
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2015
Embedding factors for branching in Hermitian Clifford analysis
Fred Brackx
Hennie De Schepper
Roman Lavicka
Vladimir Soucek
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2015
Generalized Taylor series in hermitian Clifford analysis
Fred Brackx
Hennie De Schepper
Roman Lávicka
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2015
Mag het iets meer zijn? Hoe de geesten zich openen met de Gentse Quetelet Colleges
Michel Tanret
Fred Brackx
Debora Van Durme
A2
Journal Article
in
TH&MA
2015
Representation of distributions by harmonic and monogenic potentials in Euclidean space
Fred Brackx
Hendrik De Bie
Hennie De Schepper
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2015
The Dicke model as the contraction limit of a pseudo-deformed Richardson-Gaudin model
Pieter Claeys
Stijn De Baerdemacker
Mario Van Raemdonck
Dimitri Van Neck
P1
Conference
2015
The su(2) Krawtchouk oscillator model under the CP deformed symmetry
EI Jafarov
AM Jafarova
Joris Van der Jeugt
P1
Conference
2015
Unique characterization of the Fourier transform in the framework of representation theory
Hendrik De Bie
Roy Oste
Joris Van der Jeugt
P1
Conference
2015
osp(4|2)–monogenicity in Clifford analysis
Fred Brackx
Hennie De Schepper
David Eelbode
Roman Lávička
Vladimir Soucek
C1
Conference
2015
2014
Dirichlet type problems in Hermitian Clifford analysis
Ricardo Abreu-Blaya
Juan Bory-Reyes
Fred Brackx
Hennie De Schepper
Tania Moreno-Garcia
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2014
Fischer decomposition in symplectic harmonic analysis
Fred Brackx
Hennie De Schepper
David Eelbode
Roman Lávička
Vladimir Soucek
A1
Journal Article
in
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
2014
Fundaments of quaternionic clifford analysis I: quaternionic structure
Fred Brackx
Hennie De Schepper
David Eelbode
Roman Lávička
Vladimir Souček
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2014
Harmonic and monogenic potentials in low dimensional Euclidean half-space
Fred Brackx
Hendrik De Bie
Hennie De Schepper
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2014
On a chain of harmonic and monogenic potentials in Euclidean half-space
Fred Brackx
Hendrik De Bie
Hennie De Schepper
A1
Journal Article
in
POTENTIAL ANALYSIS
2014
2013
Distributional boundary values of harmonic potentials in Euclidean half-space as fundamental solutions of convolution operators in Clifford analysis
Fred Brackx
Hendrik De Bie
Hennie De Schepper
Bookchapter
in
Advances in hypercomplex analysis
2013
History of quaternion and Clifford-fourier transforms and wavelets
Fred Brackx
Eckhard Hitzer
Stephen Sangwine
Bookchapter
in
Quaternion and Clifford fourier transforms and wavelets
2013
Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis
Ricardo Abreu-Blaya
Juan Bory-Reyes
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
2013
On primitives and conjugate harmonic pairs in hermitian Clifford analysis
Fred Brackx
Hennie De Schepper
Roman Lavicka
Vladimir Soucek
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2013
2012
A Goursat decomposition for polyharmonic functions in Euclidean space
Fred Brackx
Richard Delanghe
Hennie De Schepper
Vladimir Soucek
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2012
A Hilbert transform for hermitean matrix functions on fractal domains
Ricardo Abreu Blaya
Juan Bory Reyes
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2012
Boundary value problems associated to a Hermitian Helmholtz equation
Ricardo Abreu-Blaya
Juan Bory-Reyes
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2012
Boundary value problems for the quaternionic Hermitian system in R-4n
Ricardo Abreu-Blaya
Juan Bory-Reyes
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
BOUNDARY VALUE PROBLEMS
2012
Branching of monogenic polynomials
Fred Brackx
Hennie De Schepper
Roman Lavicka
P1
Conference
2012
Cauchy integral formulae in quaternionic hermitean clifford analysis
Ricardo Abreu Blaya
Juan Bory Reyes
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2012
Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems
Fred Brackx
Richard Delanghe
Hennie De Schepper
A1
Journal Article
in
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
2012
Hölder norm estimate for a Hilbert transform in Hermitian Clifford analysis
Ricardo Abreu Blaya
Juan Bory Reyes
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
ACTA MATHEMATICA SINICA-ENGLISH SERIES
2012
On fundamental solutions in Clifford analysis
Fred Brackx
Hennie De Schepper
Maria-Elena Luna-Elizarraras
Michael Shapiro
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2012
Selfdual 2-forms in dimension 4 and their fischer decompositions
Fred Brackx
Hennie De Schepper
Lukas Krump
Vladimir Soucek
P1
Conference
2012
The Teodorescu operator in Clifford analysis
Fred Brackx
Hennie De Schepper
Maria Elena Luna Elizarraras
Michael Shapiro
A1
Journal Article
in
CHINESE ANNALS OF MATHEMATICS SERIES B
2012
2011
Differential forms versus multi-vector functions in Hermitean Clifford analysis
Fred Brackx
Hennie De Schepper
Vladimir Soucek
A2
Journal Article
in
CUBO (TEMUCO)
2011
Explicit penrose transform for massless field equations of general spin in dimension four
Fred Brackx
Hennie De Schepper
Lukas Krump
Vladimir Soucek
P1
Conference
2011
Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis
Fred Brackx
Hennie De Schepper
Roman Lávička
Vladimir Souček
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2011
Harmonic and monogenic potentials in Euclidean half-space
Fred Brackx
Hendrik De Bie
Hennie De Schepper
C1
Conference
2011
Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables
Fred Brackx
David Eelbode
Liesbet Van de Voorde
A1
Journal Article
in
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
2011
Higher spin dirac operators in two vector variables in Clifford analysis
Liesbet Van de Voorde
Fred Brackx
David Eelbode
Dissertation
2011
On the structure of complex Clifford algebra
Fred Brackx
Hennie De Schepper
Vladimír Souček
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2011
The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis
Fred Brackx
Hennie De Schepper
Roman Lávička
Vladimir Souček
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2011
The polynomial null solutions of a higher spin Dirac operator in two vector variables
Fred Brackx
David Eelbode
Liesbet Van de Voorde
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2011
Triple monogenic functions and higher spin Dirac operators
Fred Brackx
David Eelbode
Tim Raeymaekers
Liesbet Van de Voorde
A1
Journal Article
in
INTERNATIONAL JOURNAL OF MATHEMATICS
2011
2010
A hermitian cauchy formula on a domain with fractal boundary
Ricardo Abreu-Blaya
Juan Bory-Reyes
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2010
Fischer decompositions in Euclidean and Hermitean Clifford analysis
Fred Brackx
Hennie De Schepper
Vladímir Souček
A2
Journal Article
in
ARCHIVUM MATHEMATICUM
2010
Fischer decompositions of kernels of Hermitean Dirac operators
Fred Brackx
Hennie De Schepper
Roman Lávička
Vladimír Souček
P1
Conference
2010
Gel'fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis
Fred Brackx
Hennie De Schepper
Roman Lávička
Vladimír Souček
P1
Conference
2010
Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces
Ricardo Abreu-Balya
Juan Bory-Reyes
Fred Brackx
Hennie De Schepper
A1
Journal Article
in
BOUNDARY VALUE PROBLEMS
2010
Hilbert transforms in Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
Bookchapter
in
Geometric algebra computing : in engineering and computer science
2010
On the fundamental solution and integral formulae of a higher spin operator in several vector variables
Fred Brackx
David Eelbode
Liesbet Van de Voorde
Peter Van Lancker
P1
Conference
2010
Orthogonal bases of Hermitean monogenic polynomials : an explicit construction in complex dimension 2
Fred Brackx
Hennie De Schepper
Roman Lávička
Vladimír Souček
P1
Conference
2010
The Clifford-Fourier integral kernel in even dimensional Euclidean space
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2010
The Howe dual pair in Hermitean Clifford analysis
Fred Brackx
Hennie De Schepper
David Eelbode
Vladimir Soucek
A1
Journal Article
in
REVISTA MATEMATICA IBEROAMERICANA
2010
The cylindrical Fourier transform
Fred Brackx
Nele De Schepper
Franciscus Sommen
Bookchapter
in
Geometric algebra computing : in engineering and computer science
2010
Two powerful theorems in Clifford analysis
Fred Brackx
P1
Conference
2010
2009
Discrete Clifford analysis : a germ of function theory
Fred Brackx
Hennie De Schepper
Franciscus Sommen
Liesbet Van de Voorde
P1
Conference
2009
Discrete Clifford analysis: an overview
Fred Brackx
Hennie De Schepper
Franciscus Sommen
Liesbet Van de Voorde
A2
Journal Article
in
CUBO - A MATHEMATICAL JOURNAL
2009
From orthogonal to Hermitean Clifford analysis
Fred Brackx
Jarolim Bures
Hennie De Schepper
David Eelbode
Franciscus Sommen
Vladimir Soucek
C1
Conference
2009
Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform
Fred Brackx
Hennie De Schepper
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2009
On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
2009
The Fourier transform in Clifford analysis
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
ADVANCES IN IMAGING AND ELECTRON PHYSICS
2009
The Hermitean Hilbert-Dirac connection
Fred Brackx
Bram De Knock
Hennie De Schepper
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2009
The Hilbert Transform on the Unit Sphere in R^m
Fred Brackx
Hennie De Schepper
P1
Conference
2009
2008
A matrix Hilbert transform in Hermitean Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2008
A new Hilbert transform in Hermitean Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
Franciscus Sommen
C1
Conference
2008
Differential Forms in Hermitean Clifford Analysis
Fred Brackx
Hennie De Schepper
David Eelbode
Vladimir Soucek
P1
Conference
2008
Explicit Formulae for Monogenic Projections
Fred Brackx
Hennie De Schepper
David Eelbode
Vladimir Soucek
P1
Conference
2008
Explicit Formulae for the Hermitean Monogenic Projection Operator
Fred Brackx
Hennie De Schepper
David Eelbode
Vladimir Soucek
P1
Conference
2008
Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces
Ricardo Abreu Blaya
Juan Bory Reyes
Fred Brackx
Bram De Knock
Hennie De Schepper
Dixan Peña Peña
Franciscus Sommen
A1
Journal Article
in
BOUNDARY VALUE PROBLEMS
2008
Hermitian Clifford-Hermite wavelets: an alternative approach
Fred Brackx
Hennie De Schepper
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
2008
Multidimensional distributions and generalized Hilbert transforms in Clifford analysis
Bram De Knock
Fred Brackx
Hennie De Schepper
Dissertation
2008
Orthogonality of the generalized Hermitean Clifford-Hermite polynomials
Fred Brackx
Hennie De Schepper
Nele De Schepper
David Eelbode
Franciscus Sommen
A1
Journal Article
in
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
2008
The Cylindrical Fourier Spectrum of an L-2-basis consisting of Generalized Clifford-Hermite Functions
Fred Brackx
Nele De Schepper
Franciscus Sommen
P1
Conference
2008
The Hermitian Clifford analysis toolbox
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2008
The Hilbert transform on a smooth closed hypersurface
Fred Brackx
Hennie De Schepper
A2
Journal Article
in
CUBO - A MATHEMATICAL JOURNAL
2008
Two-index Clifford-Hermite polynomials with applications in wavelet analysis
Fred Brackx
Hennie De Schepper
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2008
2007
A metric dependent Hilbert transform in Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
A1
Journal Article
in
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
2007
A theoretical framework for wavelet analysis in a Hermitean Clifford setting
Fred Brackx
Hennie De Schepper
Franciscus Sommen
A1
Journal Article
in
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
2007
Clifford-Jacobi Polynomials and the Associated Continuous Wavelet Transform in Euclidean Space
Fred Brackx
Nele De Schepper
Franciscus Sommen
P1
Conference
2007
Fundaments of Hermitean Clifford analysis, I: complex structure
Fred Brackx
Jarolim Bures
Hennie De Schepper
David Eelbode
Franciscus Sommen
Vladimir Soucek
A1
Journal Article
in
COMPLEX ANALYSIS AND OPERATOR THEORY
2007
Fundaments of Hermitean Clifford analysis, II: splitting of h-monogenic equations
Fred Brackx
J Bures
Hennie De Schepper
David Eelbode
Franciscus Sommen
V Soucek
A2
Journal Article
in
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
2007
Hermitean Clifford-Hermite polynomials
Fred Brackx
Hennie De Schepper
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2007
On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2007
The Mehler Formula for the Generalized Clifford-Hermite Polynomials
Fred Brackx
Nele De Schepper
KI KOU
Franciscus Sommen
A1
Journal Article
in
ACTA MATHEMATICA SINICA-ENGLISH SERIES
2007
The generalized Hermitean Clifford-Hermite continuous wavelet transform
Fred Brackx
Hennie De Schepper
Nele De Schepper
Franciscus Sommen
P1
Conference
2007
2006
A calculus scheme for Clifford distributions
Fred Brackx
Bram De Knock
Hennie De Schepper
David Eelbode
A2
Journal Article
in
Tokyo journal of mathematics
2006
A multidimensional Hilbert transform in anisotropic Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
C1
Conference
2006
A new Hilbert transform on the unit sphere in Rm
Fred Brackx
Hennie De Schepper
David Eelbode
A2
Journal Article
in
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
2006
A specific family of CLifford distributions
Fred Brackx
Bram De Knock
Hennie De Schepper
C1
Conference
2006
Clifford-Hermite and two-dimensional Clifford-Gabor filters for early vision
Fred Brackx
Nele De Schepper
Franciscus Sommen
C1
Conference
2006
Clifford-Hermite-Monogenic Operators in the Polynomial Framework
Fred Brackx
Nele De Schepper
Franciscus Sommen
C1
Conference
2006
Clifford-Hermite-monogenic operators
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
CZECHOSLOVAK MATHEMATICAL JOURNAL
2006
Conjugate harmonic functions in Euclidean space : a spherical approach
Fred Brackx
Hennie De Schepper
A2
Journal Article
in
COMPUTATIONAL METHODS AND FUNCTION THEORY
2006
Distributions in Clifford Analysis: an Overview
Fred Brackx
Bram De Knock
Hennie De Schepper
Franciscus Sommen
C1
Conference
2006
Generalized multidimensional Hilbert transforms in Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
A2
Journal Article
in
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
2006
Hermitian Clifford-Hermite wavelets
Fred Brackx
Hennie De Schepper
Nele De Schepper
Franciscus Sommen
C1
Conference
2006
Metric Dependent Clifford Analysis with Applications to Wavelet Analysis
Fred Brackx
Nele De Schepper
Franciscus Sommen
Bookchapter
in
Wavelets, Multiscale Systems and Hypercomplex Analysis
2006
New Multivariable Polynomials and Their Associated Continuous Wavelet Transform in the Framework of Clifford Analysis
Fred Brackx
Nele De Schepper
Franciscus Sommen
C1
Conference
2006
On harmonic potential fields and the structure of monogenic functions (vol 22, pg 261, 2003)
Fred Brackx
Richard Delanghe
Correction
2006
On the Fourier spectra of distributions in Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
A1
Journal Article
in
CHINESE ANNALS OF MATHEMATICS SERIES B
2006
On the interplay between the Hilbert transform and conjugate harmonic functions
Fred Brackx
Bram De Knock
Hennie De Schepper
David Eelbode
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2006
Preface
Fred Brackx
Hennie De Schepper
Franciscus Sommen
Editorial material
2006
The two-dimensional Clifford-Fourier transform
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF MATHEMATICAL IMAGING AND VISION
2006
2005
A Hermitian setting for wavelet analysis: the basics
Fred Brackx
Hennie De Schepper
Franciscus Sommen
C1
Conference
2005
Clifford algebra-valued orthogonal polynomials in Euclidean space
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF APPROXIMATION THEORY
2005
Convolution kernels in Clifford analysis: Old and new
Fred Brackx
Hennie De Schepper
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2005
De negerhut van oom Henry: genius at work of toevalstreffer?
Fred Brackx
Hennie De Schepper
Bookchapter
in
Richard Delanghe: een veelzijdig wiskundige
2005
Differential forms and/or multi-vector functions
Fred Brackx
Richard Delanghe
Franciscus Sommen
A2
Journal Article
in
CUBO - A MATHEMATICAL JOURNAL
2005
Generalized multi-dimensional Hilbert transforms involving spherical monogenics in the framework of Clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
C1
Conference
2005
Hilbert-Dirac operators in Clifford analysis
Fred Brackx
Hennie De Schepper
A1
Journal Article
in
CHINESE ANNALS OF MATHEMATICS SERIES B
2005
Multi-vector spherical monogenics, spherical means and distributions in clifford analysis
Fred Brackx
Bram De Knock
Hennie De Schepper
A1
Journal Article
in
ACTA MATHEMATICA SINICA-ENGLISH SERIES
2005
Richard Delanghe: een veelzijdig wiskundige
Book editor
2005
Some insights on the interplay getween the Hilbert transform and conjugate harmonic functions
Fred Brackx
Bram De Knock
Hennie De Schepper
David Eelbode
C1
Conference
2005
The Clifford-Fourier transform
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
2005
2004
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
Fred Brackx
Nele De Schepper
Franciscus Sommen
A2
Journal Article
in
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
2004
Convolution kernels in Clifford analysis
Fred Brackx
Hennie De Schepper
P1
Conference
2004
Geometric model for the reconstruction of the laminated frame for a dome designed by the Belgian architect Henri Lacoste
Fred Brackx
Hennie De Schepper
Johan Lagae
C1
Conference
2004
On the Fourier transform of distributions and differential operators in Clifford analysis
Fred Brackx
Hennie De Schepper
A2
Journal Article
in
COMPLEX VARIABLES : THEORY AND APPLICATIONS
2004
Preface to 'On some properties of the Hilbert transform in Euclidean space' by R. Delanghe
Fred Brackx
Editorial material
2004
Spherical means and distributions in Clifford analysis
Fred Brackx
Richard Delanghe
Franciscus Sommen
P1
Conference
2004
The Clifford-Gegenbauer polynomials and the associated continuous wavelet transform
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
2004
The Clifford-Laguerre continuous wavelet transform
Fred Brackx
Nele De Schepper
Franciscus Sommen
A1
Journal Article
in
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
2004
2003
Het toelatingsexamen burgerlijk ingenieur: de zwanenzang
Fred Brackx
Sandy Van Wonterghem
A4
Journal Article
in
WISKUNDE & ONDERWIJS
2003
Mathematical model of the laminated frame for a dome
Fred Brackx
Hennie De Schepper
Johan Lagae
C1
Conference
2003
On harmonic potential fields and the structure of monogenic functions
Fred Brackx
Richard Delanghe
A1
Journal Article
in
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
2003
Spherical means, distributions and convolution operators in Clifford analysis
Fred Brackx
Richard Delanghe
Franciscus Sommen
A1
Journal Article
in
CHINESE ANNALS OF MATHEMATICS SERIES B
2003
The Hermite transform in quaternionic analysis
Fred Brackx
Nele De Schepper
Franciscus Sommen
C1
Conference
2003
The bi-axial Clifford-Hermite continuous wavelet transform
Fred Brackx
Nele De Schepper
Franciscus Sommen
A2
Journal Article
in
JOURNAL OF NATURAL GEOMETRY
2003
The higher dimensional Hermite transform: a new approach
Fred Brackx
Nele De Schepper
Franciscus Sommen
A2
Journal Article
in
COMPLEX VARIABLES : THEORY AND APPLICATIONS
2003
2002
Benchmarking of three-dimensional Clifford wavelet functions
Fred Brackx
Franciscus Sommen
A2
Journal Article
in
COMPLEX VARIABLES : THEORY AND APPLICATIONS
2002
Clifford-Bessel wavelets in Euclidean space
Fred Brackx
Franciscus Sommen
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2002
Het vernieuwd toelatingsexamen burgerlijk ingenieur: de jaren 2001 en 2002
Fred Brackx
Sandy Van Wonterghem
A4
Journal Article
in
WISKUNDE & ONDERWIJS
2002
On conjugate harmonic functions in Euclidean space
Fred Brackx
Richard Delanghe
Franciscus Sommen
A1
Journal Article
in
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2002
2001
Clifford analysis and its applications
Book editor
2001
De perspectief van een vierkant
Fred Brackx
Herman Serras
A4
Journal Article
in
WISKUNDE & ONDERWIJS
2001
The continuous wavelet transform in Clifford analysis
Fred Brackx
Franciscus Sommen
P1
Conference
2001
The generalized Clifford-Hermite continuous wavelet transform
Fred Brackx
Franciscus Sommen
A2
Journal Article
in
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
2001
2000
Clifford-Hermite wavelets in Euclidean space
Fred Brackx
Franciscus Sommen
A1
Journal Article
in
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
2000
De afwikkeling van een afgeknotte kegel
Fred Brackx
A4
Journal Article
in
WISKUNDE & ONDERWIJS
2000
De projectiemethode in het Plan van de Duinenabdij van Pieter Pourbus
Fred Brackx
Herman Serras
A4
Journal Article
in
JAARBOEK BRUGGE STEDELIJKE MUSEA
2000
1997
De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (2e deel)
Fred Brackx
Richard Delanghe
Charles Thas
A4
Journal Article
in
WISKUNDE & ONDERWIJS
1997
1996
De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (Ie deel)
Fred Brackx
Richard Delanghe
Charles Thas
A4
Journal Article
in
WISKUNDE & ONDERWIJS
1996
De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (eerste deel)
Fred Brackx
Richard Delanghe
Charles Thas
A4
Journal Article
in
WISKUNDE & ONDERWIJS
1996
1994
Reproducing Bergman kernels in Clifford analysis
Fred Brackx
Franciscus Sommen
Nadine Van Acker
A2
Journal Article
in
COMPLEX VARIABLES : THEORY AND APPLICATIONS
1994
1993
A conjugate Poisson kernel in Euclidean space
Fred Brackx
Nadine Van Acker
A2
Journal Article
in
SIMON STEVIN : A QUARTERLY JOURNAL OF PURE AND APPLIED MATHEMATICS
1993
A distributional approach to vector manifolds
Franciscus Sommen
M WATKINS
P1
Conference
1993
Boundary value theory for eigenfunctions of the Dirac-operator
Fred Brackx
Nadine Van Acker
A2
Journal Article
in
TIJDSCHRIFT VAN HET BELGISCH WISKUNDIG GENOOTSCHAP
1993
Cauchy Transforms and bi-axial monogenic power functions
AK COMMON
Franciscus Sommen
P1
Conference
1993
Clifford algebras and their applications in mathematical physics
Book editor
1993
Invariant differential operators on polynomial-valued functions
Franciscus Sommen
Nadine Van Acker
P1
Conference
1993
Reproducing Kernels on the Unit Sphere
Fred Brackx
Richard Delanghe
Franciscus Sommen
Nadine Van Acker
P1
Conference
1993
SO(m)-invariant operators on Clifford tensors
Franciscus Sommen
P1
Conference
1993
Spherical geometry and Mobius transformations
J. Cnops
P1
Conference
1993
1992
Computer Algebra with LISP and REDUCE: An introduction to computer aided pure mathematics
Fred Brackx
Denis Constales
Book
1992
Hp-spaces of monogenic functions
Fred Brackx
Nadine Van Acker
P1
Conference
1992
REDUCE software for Clifford analysis
Fred Brackx
Denis Constales
Bookchapter
in
Clifford Algebra and Spinor-Valued Functions
1992
1989
Boundary value problems for the Laplacian in the Euclidean space solved by symbolic computation
Fred Brackx
Herman Serras
A1
Journal Article
in
LECTURE NOTES IN COMPUTER SCIENCE
1989
On the harmonic and monogenic decomposition of polynomials
Fred Brackx
Denis Constales
Andre Ronveaux
Herman Serras
A1
Journal Article
in
JOURNAL OF SYMBOLIC COMPUTATION
1989
1988
Proceedings on the workshop on Clifford algebra, Clifford analysis and their applications in mathematical physics
Book editor
1988
1982
Clifford analysis
Fred Brackx
Richard Delanghe
Franciscus Sommen
Book
1982
1980
Duality in hypercomplex function theory
Richard Delanghe
Fred Brackx
A1
Journal Article
in
JOURNAL OF FUNCTIONAL ANALYSIS
1980
Runge's theorem in hypercomplex function theory
Richard Delanghe
Fred Brackx
A1
Journal Article
in
JOURNAL OF APPROXIMATION THEORY
1980
1978
Hypercomplex function theory and Hilbert modules with reproducing kernel
Richard Delanghe
Fred Brackx
A1
Journal Article
in
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
1978