Research Explorer

Your browser does not support JavaScript or JavaScript is not enabled. Without JavaScript some functions of this webapplication may be disabled or cause error messages. To enable JavaScript, please consult the manual of your browser or contact your system administrator.

Researcher

Fred Brackx

Publications & Research Data

Awards & Distinctions

172 Results

2025

Clifford distributions revisited

A1 Journal Article in AXIOMS

2024

Calculus for the delta distribution

A2 Journal Article in CONTEMPORARY MATHEMATICS

Integral transforms of signumdistributions

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

2020

The Cauchy Integral Formula in hermitian, quaternionic and osp(4|2) Clifford analysis

Fred BrackxHennie De SchepperRoman LávičkaVladimir Souček

A1 Journal Article in COMPUTATIONAL METHODS AND FUNCTION THEORY

Trisectie van een hoek : van Euclides tot origami

Fred BrackxHilde De Ridder

A4 Journal Article in WISKUNDE & ONDERWIJS

2019

Cauchy’s formula in Clifford analysis : an overview

Fred BrackxHennie De SchepperRoman LavickaVladimir Soucek

Bookchapter in Topics in Clifford analysis : special volume in honor of Wolfgang Sprößig

Radial and angular derivatives of distributions

Bookchapter in Topics in Clifford analysis : special volume in honor of Wolfgang Sprössig

2018

Fischer decomposition for massless fields of spin 1 in dimension 4

Fred BrackxHennie De SchepperLukas KrumpVladimir Souček

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Fischer decomposition for the symplectic group

Fred BrackxHennie De SchepperDavid EelbodeRoman LávičkaVladimir Souček

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2017

Fundaments of quaternionic Clifford analysis II : splitting of equations

Fred BrackxHennie De SchepperDavid EelbodeRoman LávičkaVladimir Souček

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

On the radial derivative of the delta distribution

Fred BrackxFranciscus SommenJasson Vindas Diaz

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

2016

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

Fred BrackxHennie De SchepperDavid EelbodeRoman LávičkaVladimir Souček

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2015

30th International colloquium on group theoretical methods in physics (Group30), 14–18 July 2014, Ghent, Belgium

Boundary value problems on fractal hypersurfaces for the quaternionic hermitian system in R-4n

Ricardo Abreu-BlayaJuan Bory-ReyesFred BrackxHennie De SchepperTania Moreno-GarciaFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Embedding factors for branching in Hermitian Clifford analysis

Fred BrackxHennie De SchepperRoman LavickaVladimir Soucek

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Generalized Taylor series in hermitian Clifford analysis

Fred BrackxHennie De SchepperRoman Lávicka

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Mag het iets meer zijn? Hoe de geesten zich openen met de Gentse Quetelet Colleges

Michel TanretFred BrackxDebora Van Durme

A2 Journal Article in TH&MA

osp(4|2)–monogenicity in Clifford analysis

Fred BrackxHennie De SchepperDavid EelbodeRoman LávičkaVladimir Soucek

Representation of distributions by harmonic and monogenic potentials in Euclidean space

Fred BrackxHendrik De BieHennie De Schepper

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

The Dicke model as the contraction limit of a pseudo-deformed Richardson-Gaudin model

Pieter ClaeysStijn De BaerdemackerMario Van RaemdonckDimitri Van Neck

The su(2) Krawtchouk oscillator model under the CP deformed symmetry

EI JafarovAM JafarovaJoris Van der Jeugt

Unique characterization of the Fourier transform in the framework of representation theory

Hendrik De BieRoy OsteJoris Van der Jeugt

2014

Dirichlet type problems in Hermitian Clifford analysis

Ricardo Abreu-BlayaJuan Bory-ReyesFred BrackxHennie De SchepperTania Moreno-GarciaFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Fischer decomposition in symplectic harmonic analysis

Fred BrackxHennie De SchepperDavid EelbodeRoman LávičkaVladimir Soucek

A1 Journal Article in ANNALS OF GLOBAL ANALYSIS AND GEOMETRY

Fundaments of quaternionic clifford analysis I: quaternionic structure

Fred BrackxHennie De SchepperDavid EelbodeRoman LávičkaVladimir Souček

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Harmonic and monogenic potentials in low dimensional Euclidean half-space

Fred BrackxHendrik De BieHennie De Schepper

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On a chain of harmonic and monogenic potentials in Euclidean half-space

Fred BrackxHendrik De BieHennie De Schepper

A1 Journal Article in POTENTIAL ANALYSIS

2013

Distributional boundary values of harmonic potentials in Euclidean half-space as fundamental solutions of convolution operators in Clifford analysis

Fred BrackxHendrik De BieHennie De Schepper

Bookchapter in Advances in hypercomplex analysis

History of quaternion and Clifford-fourier transforms and wavelets

Fred BrackxEckhard HitzerStephen Sangwine

Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis

Ricardo Abreu-BlayaJuan Bory-ReyesFred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

On primitives and conjugate harmonic pairs in hermitian Clifford analysis

Fred BrackxHennie De SchepperRoman LavickaVladimir Soucek

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

2012

A Goursat decomposition for polyharmonic functions in Euclidean space

Fred BrackxRichard DelangheHennie De SchepperVladimir Soucek

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

A Hilbert transform for hermitean matrix functions on fractal domains

Ricardo Abreu BlayaJuan Bory ReyesFred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Boundary value problems associated to a Hermitian Helmholtz equation

Ricardo Abreu-BlayaJuan Bory-ReyesFred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Boundary value problems for the quaternionic Hermitian system in R-4n

Ricardo Abreu-BlayaJuan Bory-ReyesFred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in BOUNDARY VALUE PROBLEMS

Branching of monogenic polynomials

Fred BrackxHennie De SchepperRoman Lavicka

Cauchy integral formulae in quaternionic hermitean clifford analysis

Ricardo Abreu BlayaJuan Bory ReyesFred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems

Fred BrackxRichard DelangheHennie De Schepper

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Hölder norm estimate for a Hilbert transform in Hermitian Clifford analysis

Ricardo Abreu BlayaJuan Bory ReyesFred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in ACTA MATHEMATICA SINICA-ENGLISH SERIES

On fundamental solutions in Clifford analysis

Fred BrackxHennie De SchepperMaria-Elena Luna-ElizarrarasMichael Shapiro

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Selfdual 2-forms in dimension 4 and their fischer decompositions

Fred BrackxHennie De SchepperLukas KrumpVladimir Soucek

The Teodorescu operator in Clifford analysis

Fred BrackxHennie De SchepperMaria Elena Luna ElizarrarasMichael Shapiro

A1 Journal Article in CHINESE ANNALS OF MATHEMATICS SERIES B

2011

Differential forms versus multi-vector functions in Hermitean Clifford analysis

Fred BrackxHennie De SchepperVladimir Soucek

A2 Journal Article in CUBO (TEMUCO)

Explicit penrose transform for massless field equations of general spin in dimension four

Fred BrackxHennie De SchepperLukas KrumpVladimir Soucek

Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis

Fred BrackxHennie De SchepperRoman LávičkaVladimir Souček

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Harmonic and monogenic potentials in Euclidean half-space

Fred BrackxHendrik De BieHennie De Schepper

Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables

Fred BrackxDavid EelbodeLiesbet Van de Voorde

A1 Journal Article in MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

Higher spin dirac operators in two vector variables in Clifford analysis

Liesbet Van de VoordeFred BrackxDavid Eelbode

On the structure of complex Clifford algebra

Fred BrackxHennie De SchepperVladimír Souček

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis

Fred BrackxHennie De SchepperRoman LávičkaVladimir Souček

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

The polynomial null solutions of a higher spin Dirac operator in two vector variables

Fred BrackxDavid EelbodeLiesbet Van de Voorde

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Triple monogenic functions and higher spin Dirac operators

Fred BrackxDavid EelbodeTim RaeymaekersLiesbet Van de Voorde

A1 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS

2010

A hermitian cauchy formula on a domain with fractal boundary

Ricardo Abreu-BlayaJuan Bory-ReyesFred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Fischer decompositions in Euclidean and Hermitean Clifford analysis

Fred BrackxHennie De SchepperVladímir Souček

A2 Journal Article in ARCHIVUM MATHEMATICUM

Fischer decompositions of kernels of Hermitean Dirac operators

Fred BrackxHennie De SchepperRoman LávičkaVladimír Souček

Gel'fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis

Fred BrackxHennie De SchepperRoman LávičkaVladimír Souček

Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces

Ricardo Abreu-BalyaJuan Bory-ReyesFred BrackxHennie De Schepper

A1 Journal Article in BOUNDARY VALUE PROBLEMS

Hilbert transforms in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

Bookchapter in Geometric algebra computing : in engineering and computer science

On the fundamental solution and integral formulae of a higher spin operator in several vector variables

Fred BrackxDavid EelbodeLiesbet Van de VoordePeter Van Lancker

Orthogonal bases of Hermitean monogenic polynomials : an explicit construction in complex dimension 2

Fred BrackxHennie De SchepperRoman LávičkaVladimír Souček

The Clifford-Fourier integral kernel in even dimensional Euclidean space

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

The cylindrical Fourier transform

Fred BrackxNele De SchepperFranciscus Sommen

Bookchapter in Geometric algebra computing : in engineering and computer science

The Howe dual pair in Hermitean Clifford analysis

Fred BrackxHennie De SchepperDavid EelbodeVladimir Soucek

A1 Journal Article in REVISTA MATEMATICA IBEROAMERICANA

Two powerful theorems in Clifford analysis

2009

Discrete Clifford analysis : a germ of function theory

Fred BrackxHennie De SchepperFranciscus SommenLiesbet Van de Voorde

Discrete Clifford analysis: an overview

Fred BrackxHennie De SchepperFranciscus SommenLiesbet Van de Voorde

A2 Journal Article in CUBO - A MATHEMATICAL JOURNAL

From orthogonal to Hermitean Clifford analysis

Fred BrackxJarolim BuresHennie De SchepperDavid EelbodeFranciscus SommenVladimir Soucek

Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

A1 Journal Article in BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

The Fourier transform in Clifford analysis

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in ADVANCES IN IMAGING AND ELECTRON PHYSICS

The Hermitean Hilbert-Dirac connection

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

The Hilbert Transform on the Unit Sphere in R^m

Fred BrackxHennie De Schepper

2008

A matrix Hilbert transform in Hermitean Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A new Hilbert transform in Hermitean Clifford analysis

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

Differential Forms in Hermitean Clifford Analysis

Fred BrackxHennie De SchepperDavid EelbodeVladimir Soucek

Explicit Formulae for Monogenic Projections

Fred BrackxHennie De SchepperDavid EelbodeVladimir Soucek

Explicit Formulae for the Hermitean Monogenic Projection Operator

Fred BrackxHennie De SchepperDavid EelbodeVladimir Soucek

Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces

Ricardo Abreu BlayaJuan Bory ReyesFred BrackxBram De KnockHennie De SchepperDixan Peña PeñaFranciscus Sommen

A1 Journal Article in BOUNDARY VALUE PROBLEMS

Hermitian Clifford-Hermite wavelets: an alternative approach

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

Multidimensional distributions and generalized Hilbert transforms in Clifford analysis

Bram De KnockFred BrackxHennie De Schepper

Orthogonality of the generalized Hermitean Clifford-Hermite polynomials

Fred BrackxHennie De SchepperNele De SchepperDavid EelbodeFranciscus Sommen

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

The Cylindrical Fourier Spectrum of an L-2-basis consisting of Generalized Clifford-Hermite Functions

Fred BrackxNele De SchepperFranciscus Sommen

The Hermitian Clifford analysis toolbox

Fred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

The Hilbert transform on a smooth closed hypersurface

Fred BrackxHennie De Schepper

A2 Journal Article in CUBO - A MATHEMATICAL JOURNAL

Two-index Clifford-Hermite polynomials with applications in wavelet analysis

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2007

A metric dependent Hilbert transform in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

A theoretical framework for wavelet analysis in a Hermitean Clifford setting

Fred BrackxHennie De SchepperFranciscus Sommen

A1 Journal Article in COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Clifford-Jacobi Polynomials and the Associated Continuous Wavelet Transform in Euclidean Space

Fred BrackxNele De SchepperFranciscus Sommen

Fundaments of Hermitean Clifford analysis, I: complex structure

Fred BrackxJarolim BuresHennie De SchepperDavid EelbodeFranciscus SommenVladimir Soucek

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Fundaments of Hermitean Clifford analysis, II: splitting of h-monogenic equations

Fred BrackxJ BuresHennie De SchepperDavid EelbodeFranciscus SommenV Soucek

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Hermitean Clifford-Hermite polynomials

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

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

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

The generalized Hermitean Clifford-Hermite continuous wavelet transform

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

The Mehler Formula for the Generalized Clifford-Hermite Polynomials

Fred BrackxNele De SchepperKI KOUFranciscus Sommen

A1 Journal Article in ACTA MATHEMATICA SINICA-ENGLISH SERIES

2006

A calculus scheme for Clifford distributions

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode

A2 Journal Article in Tokyo journal of mathematics

A multidimensional Hilbert transform in anisotropic Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A new Hilbert transform on the unit sphere in Rm

Fred BrackxHennie De SchepperDavid Eelbode

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

A specific family of CLifford distributions

Fred BrackxBram De KnockHennie De Schepper

Clifford-Hermite and two-dimensional Clifford-Gabor filters for early vision

Fred BrackxNele De SchepperFranciscus Sommen

Clifford-Hermite-monogenic operators

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in CZECHOSLOVAK MATHEMATICAL JOURNAL

Clifford-Hermite-Monogenic Operators in the Polynomial Framework

Fred BrackxNele De SchepperFranciscus Sommen

Conjugate harmonic functions in Euclidean space : a spherical approach

Fred BrackxHennie De Schepper

A2 Journal Article in COMPUTATIONAL METHODS AND FUNCTION THEORY

Distributions in Clifford Analysis: an Overview

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

Generalized multidimensional Hilbert transforms in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A2 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES

Hermitian Clifford-Hermite wavelets

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

Metric Dependent Clifford Analysis with Applications to Wavelet Analysis

Fred BrackxNele De SchepperFranciscus Sommen

Bookchapter in Wavelets, Multiscale Systems and Hypercomplex Analysis

New Multivariable Polynomials and Their Associated Continuous Wavelet Transform in the Framework of Clifford Analysis

Fred BrackxNele De SchepperFranciscus Sommen

On harmonic potential fields and the structure of monogenic functions (vol 22, pg 261, 2003)

Fred BrackxRichard Delanghe

On the Fourier spectra of distributions in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in CHINESE ANNALS OF MATHEMATICS SERIES B

On the interplay between the Hilbert transform and conjugate harmonic functions

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Fred BrackxHennie De SchepperFranciscus Sommen

Editorial material

The two-dimensional Clifford-Fourier transform

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL IMAGING AND VISION

2005

A Hermitian setting for wavelet analysis: the basics

Fred BrackxHennie De SchepperFranciscus Sommen

Clifford algebra-valued orthogonal polynomials in Euclidean space

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF APPROXIMATION THEORY

Convolution kernels in Clifford analysis: Old and new

Fred BrackxHennie De Schepper

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

De negerhut van oom Henry: genius at work of toevalstreffer?

Fred BrackxHennie De Schepper

Bookchapter in Richard Delanghe: een veelzijdig wiskundige

Differential forms and/or multi-vector functions

Fred BrackxRichard DelangheFranciscus Sommen

A2 Journal Article in CUBO - A MATHEMATICAL JOURNAL

Generalized multi-dimensional Hilbert transforms involving spherical monogenics in the framework of Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

Hilbert-Dirac operators in Clifford analysis

Fred BrackxHennie De Schepper

A1 Journal Article in CHINESE ANNALS OF MATHEMATICS SERIES B

Multi-vector spherical monogenics, spherical means and distributions in clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in ACTA MATHEMATICA SINICA-ENGLISH SERIES

Richard Delanghe: een veelzijdig wiskundige

Some insights on the interplay getween the Hilbert transform and conjugate harmonic functions

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode

The Clifford-Fourier transform

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

2004

Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space

Fred BrackxNele De SchepperFranciscus Sommen

A2 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES

Convolution kernels in Clifford analysis

Fred BrackxHennie De Schepper

Geometric model for the reconstruction of the laminated frame for a dome designed by the Belgian architect Henri Lacoste

Fred BrackxHennie De SchepperJohan Lagae

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

Fred BrackxHennie De Schepper

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

Preface to 'On some properties of the Hilbert transform in Euclidean space' by R. Delanghe

Editorial material

Spherical means and distributions in Clifford analysis

Fred BrackxRichard DelangheFranciscus Sommen

The Clifford-Gegenbauer polynomials and the associated continuous wavelet transform

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

The Clifford-Laguerre continuous wavelet transform

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

2003

Het toelatingsexamen burgerlijk ingenieur: de zwanenzang

Fred BrackxSandy Van Wonterghem

A4 Journal Article in WISKUNDE & ONDERWIJS

Mathematical model of the laminated frame for a dome

Fred BrackxHennie De SchepperJohan Lagae

On harmonic potential fields and the structure of monogenic functions

Fred BrackxRichard Delanghe

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Spherical means, distributions and convolution operators in Clifford analysis

Fred BrackxRichard DelangheFranciscus Sommen

A1 Journal Article in CHINESE ANNALS OF MATHEMATICS SERIES B

The bi-axial Clifford-Hermite continuous wavelet transform

Fred BrackxNele De SchepperFranciscus Sommen

A2 Journal Article in JOURNAL OF NATURAL GEOMETRY

The Hermite transform in quaternionic analysis

Fred BrackxNele De SchepperFranciscus Sommen

The higher dimensional Hermite transform: a new approach

Fred BrackxNele De SchepperFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

2002

Benchmarking of three-dimensional Clifford wavelet functions

Fred BrackxFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

Clifford-Bessel wavelets in Euclidean space

Fred BrackxFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Het vernieuwd toelatingsexamen burgerlijk ingenieur: de jaren 2001 en 2002

Fred BrackxSandy Van Wonterghem

A4 Journal Article in WISKUNDE & ONDERWIJS

On conjugate harmonic functions in Euclidean space

Fred BrackxRichard DelangheFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2001

Clifford analysis and its applications

De perspectief van een vierkant

Fred BrackxHerman Serras

A4 Journal Article in WISKUNDE & ONDERWIJS

The continuous wavelet transform in Clifford analysis

Fred BrackxFranciscus Sommen

The generalized Clifford-Hermite continuous wavelet transform

Fred BrackxFranciscus Sommen

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

2000

Clifford-Hermite wavelets in Euclidean space

Fred BrackxFranciscus Sommen

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

De afwikkeling van een afgeknotte kegel

A4 Journal Article in WISKUNDE & ONDERWIJS

De projectiemethode in het Plan van de Duinenabdij van Pieter Pourbus

Fred BrackxHerman Serras

A4 Journal Article in JAARBOEK BRUGGE STEDELIJKE MUSEA

1997

De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (2e deel)

Fred BrackxRichard DelangheCharles Thas

A4 Journal Article in WISKUNDE & ONDERWIJS

1996

De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (eerste deel)

Fred BrackxRichard DelangheCharles Thas

A4 Journal Article in WISKUNDE & ONDERWIJS

De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (Ie deel)

Fred BrackxRichard DelangheCharles Thas

A4 Journal Article in WISKUNDE & ONDERWIJS

1994

Reproducing Bergman kernels in Clifford analysis

Fred BrackxFranciscus SommenNadine Van Acker

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

1993

A conjugate Poisson kernel in Euclidean space

Fred BrackxNadine Van Acker

A2 Journal Article in SIMON STEVIN : A QUARTERLY JOURNAL OF PURE AND APPLIED MATHEMATICS

A distributional approach to vector manifolds

Franciscus SommenM WATKINS

Boundary value theory for eigenfunctions of the Dirac-operator

Fred BrackxNadine Van Acker

A2 Journal Article in TIJDSCHRIFT VAN HET BELGISCH WISKUNDIG GENOOTSCHAP

Cauchy Transforms and bi-axial monogenic power functions

AK COMMONFranciscus Sommen

Clifford algebras and their applications in mathematical physics

Invariant differential operators on polynomial-valued functions

Franciscus SommenNadine Van Acker

Reproducing Kernels on the Unit Sphere

Fred BrackxRichard DelangheFranciscus SommenNadine Van Acker

SO(m)-invariant operators on Clifford tensors

Franciscus Sommen

Spherical geometry and Mobius transformations

1992

Computer Algebra with LISP and REDUCE: An introduction to computer aided pure mathematics

Fred BrackxDenis Constales

Hp-spaces of monogenic functions

Fred BrackxNadine Van Acker

REDUCE software for Clifford analysis

Fred BrackxDenis Constales

Bookchapter in Clifford Algebra and Spinor-Valued Functions

1989

Boundary value problems for the Laplacian in the Euclidean space solved by symbolic computation

Fred BrackxHerman Serras

A1 Journal Article in LECTURE NOTES IN COMPUTER SCIENCE

On the harmonic and monogenic decomposition of polynomials

Fred BrackxDenis ConstalesAndre RonveauxHerman Serras

A1 Journal Article in JOURNAL OF SYMBOLIC COMPUTATION

1988

Proceedings on the workshop on Clifford algebra, Clifford analysis and their applications in mathematical physics

1982

Clifford analysis

Fred BrackxRichard DelangheFranciscus Sommen

1980

Duality in hypercomplex function theory

Richard DelangheFred Brackx

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Runge's theorem in hypercomplex function theory

Richard DelangheFred Brackx

A1 Journal Article in JOURNAL OF APPROXIMATION THEORY

1978

Hypercomplex function theory and Hilbert modules with reproducing kernel

Richard DelangheFred Brackx

A1 Journal Article in PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY