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The Cauchy Integral Formula in hermitian, quaternionic and osp(4|2) Clifford analysis
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- Journal Article
- A4
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Trisectie van een hoek : van Euclides tot origami
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Cauchy’s formula in Clifford analysis : an overview
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Radial and angular derivatives of distributions
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- Journal Article
- A1
- open access
Fischer decomposition for the symplectic group
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- Journal Article
- A1
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Fischer decomposition for massless fields of spin 1 in dimension 4
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- Journal Article
- A1
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Fundaments of quaternionic Clifford analysis II : splitting of equations
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- Journal Article
- A1
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On the radial derivative of the delta distribution
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- Journal Article
- A1
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Fischer decomposition for osp(4|2)-monogenics in quaternionic Clifford analysis
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- Book Editor
- open access
30th International colloquium on group theoretical methods in physics (Group30), 14–18 July 2014, Ghent, Belgium
Fred Brackx (UGent) , Hennie De Schepper (UGent) and Joris Van der Jeugt (UGent)(2015) 597. -
- Conference Paper
- C1
- open access
osp(4|2)–monogenicity in Clifford analysis
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- Journal Article
- A1
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Embedding factors for branching in Hermitian Clifford analysis
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- Journal Article
- A1
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Boundary value problems on fractal hypersurfaces for the quaternionic hermitian system in R-4n
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- Journal Article
- A1
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Representation of distributions by harmonic and monogenic potentials in Euclidean space
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- Journal Article
- A2
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Mag het iets meer zijn? Hoe de geesten zich openen met de Gentse Quetelet Colleges
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- Journal Article
- A1
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Generalized Taylor series in hermitian Clifford analysis
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- Journal Article
- A1
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Fischer decomposition in symplectic harmonic analysis
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Fundaments of quaternionic clifford analysis I: quaternionic structure
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Harmonic and monogenic potentials in low dimensional Euclidean half-space
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- Journal Article
- A1
- open access
On a chain of harmonic and monogenic potentials in Euclidean half-space
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- Journal Article
- A1
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Dirichlet type problems in Hermitian Clifford analysis
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- Journal Article
- A1
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Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis
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- Journal Article
- A1
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On primitives and conjugate harmonic pairs in hermitian Clifford analysis
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- Book Chapter
- open access
History of quaternion and Clifford-fourier transforms and wavelets
(2013) Quaternion and Clifford fourier transforms and wavelets. In Trends in Mathematics 27. p.XI-XXVII -
- Book Chapter
- open access
Distributional boundary values of harmonic potentials in Euclidean half-space as fundamental solutions of convolution operators in Clifford analysis
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- Journal Article
- A1
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Boundary value problems for the quaternionic Hermitian system in R-4n
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- Journal Article
- A1
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Boundary value problems associated to a Hermitian Helmholtz equation
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Branching of monogenic polynomials
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Selfdual 2-forms in dimension 4 and their fischer decompositions
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- Journal Article
- A1
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Hölder norm estimate for a Hilbert transform in Hermitian Clifford analysis
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- Journal Article
- A1
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Cauchy integral formulae in quaternionic hermitean clifford analysis
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- Journal Article
- A1
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Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems
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- Journal Article
- A1
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The Teodorescu operator in Clifford analysis
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- Journal Article
- A1
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A Goursat decomposition for polyharmonic functions in Euclidean space
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- Journal Article
- A1
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A Hilbert transform for hermitean matrix functions on fractal domains
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- Journal Article
- A1
- open access
On fundamental solutions in Clifford analysis
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Explicit penrose transform for massless field equations of general spin in dimension four
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- Conference Paper
- C1
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Harmonic and monogenic potentials in Euclidean half-space
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- Journal Article
- A1
- open access
Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis
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- Journal Article
- A1
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Triple monogenic functions and higher spin Dirac operators
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- Journal Article
- A1
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The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis
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- Journal Article
- A1
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On the structure of complex Clifford algebra
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Differential forms versus multi-vector functions in Hermitean Clifford analysis
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- Journal Article
- A1
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Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables
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- Journal Article
- A1
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The polynomial null solutions of a higher spin Dirac operator in two vector variables
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- Conference Paper
- P1
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On the fundamental solution and integral formulae of a higher spin operator in several vector variables
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- Conference Paper
- P1
- open access
Two powerful theorems in Clifford analysis
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- Conference Paper
- P1
- open access
Orthogonal bases of Hermitean monogenic polynomials : an explicit construction in complex dimension 2
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- Conference Paper
- P1
- open access
Gel'fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis
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- Conference Paper
- P1
- open access
Fischer decompositions of kernels of Hermitean Dirac operators
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- Journal Article
- A2
- open access
Fischer decompositions in Euclidean and Hermitean Clifford analysis
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- Book Chapter
- open access
The cylindrical Fourier transform
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- Book Chapter
- open access
Hilbert transforms in Clifford analysis
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- Journal Article
- A1
- open access
Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces
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- Journal Article
- A1
- open access
A hermitian cauchy formula on a domain with fractal boundary
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- Journal Article
- A1
- open access
The Howe dual pair in Hermitean Clifford analysis
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- Journal Article
- A1
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The Clifford-Fourier integral kernel in even dimensional Euclidean space
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The Hermitean Hilbert-Dirac connection
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On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis
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From orthogonal to Hermitean Clifford analysis
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Discrete Clifford analysis: an overview
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Discrete Clifford analysis : a germ of function theory
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The Hilbert Transform on the Unit Sphere in R^m
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The Fourier transform in Clifford analysis
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Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform
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- Conference Paper
- C1
- open access
A new Hilbert transform in Hermitean Clifford analysis
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The Hilbert transform on a smooth closed hypersurface
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The Cylindrical Fourier Spectrum of an L-2-basis consisting of Generalized Clifford-Hermite Functions
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Explicit Formulae for Monogenic Projections
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Explicit Formulae for the Hermitean Monogenic Projection Operator
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Differential Forms in Hermitean Clifford Analysis
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- Journal Article
- A1
- open access
Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces
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A matrix Hilbert transform in Hermitean Clifford analysis
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The Hermitian Clifford analysis toolbox
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Orthogonality of the generalized Hermitean Clifford-Hermite polynomials
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Two-index Clifford-Hermite polynomials with applications in wavelet analysis
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Hermitian Clifford-Hermite wavelets: an alternative approach
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Clifford-Jacobi Polynomials and the Associated Continuous Wavelet Transform in Euclidean Space
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The generalized Hermitean Clifford-Hermite continuous wavelet transform
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Fundaments of Hermitean Clifford analysis, II: splitting of h-monogenic equations
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Fundaments of Hermitean Clifford analysis, I: complex structure
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Hermitean Clifford-Hermite polynomials
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On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis
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A metric dependent Hilbert transform in Clifford analysis
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The Mehler Formula for the Generalized Clifford-Hermite Polynomials
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A theoretical framework for wavelet analysis in a Hermitean Clifford setting
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Hermitian Clifford-Hermite wavelets
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Clifford-Hermite and two-dimensional Clifford-Gabor filters for early vision
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A multidimensional Hilbert transform in anisotropic Clifford analysis
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Conjugate harmonic functions in Euclidean space : a spherical approach
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A calculus scheme for Clifford distributions
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- Journal Article
- A2
- open access
Generalized multidimensional Hilbert transforms in Clifford analysis
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On the interplay between the Hilbert transform and conjugate harmonic functions
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On harmonic potential fields and the structure of monogenic functions (vol 22, pg 261, 2003)
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On the Fourier spectra of distributions in Clifford analysis
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The two-dimensional Clifford-Fourier transform
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Clifford-Hermite-monogenic operators
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Metric Dependent Clifford Analysis with Applications to Wavelet Analysis
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Clifford-Hermite-Monogenic Operators in the Polynomial Framework
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A specific family of CLifford distributions
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New Multivariable Polynomials and Their Associated Continuous Wavelet Transform in the Framework of Clifford Analysis
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A new Hilbert transform on the unit sphere in Rm
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Preface
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Distributions in Clifford Analysis: an Overview
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A Hermitian setting for wavelet analysis: the basics
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Some insights on the interplay getween the Hilbert transform and conjugate harmonic functions
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Generalized multi-dimensional Hilbert transforms involving spherical monogenics in the framework of Clifford analysis
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De negerhut van oom Henry: genius at work of toevalstreffer?
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Richard Delanghe: een veelzijdig wiskundige
Fred Brackx (UGent) and Hennie De Schepper (UGent)(2005) -
Differential forms and/or multi-vector functions
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Hilbert-Dirac operators in Clifford analysis
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Multi-vector spherical monogenics, spherical means and distributions in clifford analysis
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Clifford algebra-valued orthogonal polynomials in Euclidean space
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Convolution kernels in Clifford analysis: Old and new
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The Clifford-Fourier transform
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Convolution kernels in Clifford analysis
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Spherical means and distributions in Clifford analysis
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Geometric model for the reconstruction of the laminated frame for a dome designed by the Belgian architect Henri Lacoste
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Preface to 'On some properties of the Hilbert transform in Euclidean space' by R. Delanghe
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- Journal Article
- A2
- open access
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
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On the Fourier transform of distributions and differential operators in Clifford analysis
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The Clifford-Gegenbauer polynomials and the associated continuous wavelet transform
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The Clifford-Laguerre continuous wavelet transform
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The Hermite transform in quaternionic analysis
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Mathematical model of the laminated frame for a dome
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Het toelatingsexamen burgerlijk ingenieur: de zwanenzang
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The bi-axial Clifford-Hermite continuous wavelet transform
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The higher dimensional Hermite transform: a new approach
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Spherical means, distributions and convolution operators in Clifford analysis
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On harmonic potential fields and the structure of monogenic functions
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On conjugate harmonic functions in Euclidean space
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Clifford-Bessel wavelets in Euclidean space
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Het vernieuwd toelatingsexamen burgerlijk ingenieur: de jaren 2001 en 2002
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Benchmarking of three-dimensional Clifford wavelet functions
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Clifford analysis and its applications
Fred Brackx (UGent) , JS Roy Chisholm and Vladimir Soucek(2001) 25. -
- Journal Article
- A2
- open access
The generalized Clifford-Hermite continuous wavelet transform
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The continuous wavelet transform in Clifford analysis
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De perspectief van een vierkant
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Clifford-Hermite wavelets in Euclidean space
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De projectiemethode in het Plan van de Duinenabdij van Pieter Pourbus
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De afwikkeling van een afgeknotte kegel
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De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (2e deel)
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De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (Ie deel)
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De reductie van een reële kwadratische vergelijking in orthogonale coördinaten (eerste deel)
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Reproducing Bergman kernels in Clifford analysis
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Reproducing Kernels on the Unit Sphere
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Clifford algebras and their applications in mathematical physics
Fred Brackx (UGent) , Richard Delanghe (UGent) and Herman Serras (UGent)(1993) 55. -
Boundary value theory for eigenfunctions of the Dirac-operator
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A conjugate Poisson kernel in Euclidean space
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Computer Algebra with LISP and REDUCE: An introduction to computer aided pure mathematics
(1992) -
REDUCE software for Clifford analysis
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Hp-spaces of monogenic functions
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Boundary value problems for the Laplacian in the Euclidean space solved by symbolic computation
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On the harmonic and monogenic decomposition of polynomials
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Proceedings on the workshop on Clifford algebra, Clifford analysis and their applications in mathematical physics
Fred Brackx (UGent) , Richard Delanghe (UGent) and Franciscus Sommen (UGent)(1988) 62. -
Clifford analysis
(1982) 76. -
Duality in hypercomplex function theory
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Runge's theorem in hypercomplex function theory
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Hypercomplex function theory and Hilbert modules with reproducing kernel