prof. dr. Hennie De Schepper
- ORCID iD
- 0000-0003-3708-4570
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- Journal Article
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The Spin group in superspace
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- Journal Article
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The Cauchy Integral Formula in hermitian, quaternionic and osp(4|2) Clifford analysis
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Cauchy’s formula in Clifford analysis : an overview
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- Journal Article
- A1
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Fischer decomposition for the symplectic group
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- Journal Article
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Fischer decomposition for massless fields of spin 1 in dimension 4
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- Journal Article
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Hermitian Clifford analysis on superspace
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- Journal Article
- A1
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Spin actions in Euclidean and Hermitian Clifford analysis in superspace
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- Journal Article
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Fundaments of quaternionic Clifford analysis II : splitting of equations
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The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis
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On a mixed fischer decomposition in Clifford analysis
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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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- Journal Article
- A1
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Higher order Borel–Pompeiu representations in 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. -
- Book Chapter
- open access
Introductory clifford analysis
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- Conference Paper
- C1
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Higher order Borel-Pompeiu representations
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- Conference Paper
- C1
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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
- 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
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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
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Taylor series expansion in discrete Clifford analysis
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- Journal Article
- A1
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Twisted higher spin Dirac operators
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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
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On primitives and conjugate harmonic pairs in hermitian Clifford analysis
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- 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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- Journal Article
- A1
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Fueter polynomials in discrete Clifford analysis
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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
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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
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The Teodorescu operator in Clifford analysis
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- Journal Article
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A Goursat decomposition for polyharmonic functions in Euclidean space
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- Journal Article
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A Hilbert transform for hermitean matrix functions on fractal domains
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- Journal Article
- A1
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On fundamental solutions in Clifford analysis
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On solutions of the higher spin Dirac operators of order two
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Explicit penrose transform for massless field equations of general spin in dimension four
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- Conference Paper
- C1
- open access
Harmonic and monogenic potentials in Euclidean half-space
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- Journal Article
- A1
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Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis
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- Journal Article
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The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis
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- Journal Article
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On the structure of complex Clifford algebra
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- Journal Article
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The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis
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Differential forms versus multi-vector functions in Hermitean Clifford analysis
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- Conference Paper
- P1
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The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis
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- Conference Paper
- P1
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Orthogonal bases of Hermitean monogenic polynomials : an explicit construction in complex dimension 2
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- Conference Paper
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Gel'fand-Tsetlin procedure for the construction of orthogonal bases in Hermitean Clifford analysis
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- Conference Paper
- P1
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Fischer decompositions of kernels of Hermitean Dirac operators
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- Journal Article
- A2
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Fischer decompositions in Euclidean and Hermitean Clifford analysis
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- Conference Paper
- P1
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On an inductive construction of higher spin Dirac operators
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- Journal Article
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On a special type of solutions of arbitrary higher spin Dirac operators
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- Book Chapter
- open access
Hilbert transforms in Clifford analysis
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- Journal Article
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Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces
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- Journal Article
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Discrete function theory based on skew Weyl relations
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- Journal Article
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A hermitian cauchy formula on a domain with fractal boundary
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- Journal Article
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The Howe dual pair in Hermitean Clifford analysis
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A basic framework for discrete Clifford analysis
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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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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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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
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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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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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Special issue: Dirac operators and applications
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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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A theoretical framework for wavelet analysis in a Hermitean Clifford setting
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Hermitian Clifford-Hermite wavelets
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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 the Fourier spectra of distributions in Clifford analysis
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A specific family of CLifford distributions
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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