Research Explorer

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Researcher

David Eelbode

Awards & Distinctions

47 Results

2015

Higher spin operators in Clifford analysis

Tim RaeymaekersHennie De SchepperDavid Eelbode

2011

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

Taylor series in Hermitean Clifford analysis

David EelbodeFu Li He

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

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

2010

A toy model for higher spin Dirac operators

David EelbodeLiesbet Van de Voorde

A1 Journal Article in PHYSICS OF ATOMIC NUCLEI

On a special type of solutions of arbitrary higher spin Dirac operators

Hennie De SchepperDavid EelbodeTim Raeymaekers

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

The Howe dual pair in Hermitean Clifford analysis

Fred BrackxHennie De SchepperDavid EelbodeVladimir Soucek

A1 Journal Article in REVISTA MATEMATICA IBEROAMERICANA

2009

From orthogonal to Hermitean Clifford analysis

Fred BrackxJarolim BuresHennie De SchepperDavid EelbodeFranciscus SommenVladimir Soucek

Higher spin operators and polyharmonic functions

David EelbodeLiesbet Van de Voorde

Invariant syzygies for the Hermitian Dirac operator

Alberto DamianoDavid EelbodeIrene Sabadini

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

Polynomial Invariants for the Rarita-Schwinger Operator

David EelbodeDalibor Smid

Spherical harmonics and integration in superspace II

Hendrik De BieDavid EelbodeFranciscus Sommen

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2008

Algebraic analysis of Hermitian monogenic functions

A DAMIANODavid EelbodeI SABADINI

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

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

Irreducible sl(m)-modules of Hermitean monogenics

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

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

2007

A Clifford algebraic framework for sp(m)-invariant differential operators

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

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

Partial primitives for Clifford algebra-valued functions

David EelbodeFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Stirling numbers and spin-Euler polynomials

A1 Journal Article in EXPERIMENTAL MATHEMATICS

Zonal decompositions for spherical monogenics

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2006

A calculus scheme for Clifford distributions

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode

A2 Journal Article in Tokyo journal of mathematics

A new Hilbert transform on the unit sphere in Rm

Fred BrackxHennie De SchepperDavid Eelbode

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Clifford Analysis on the Hyperbolic Unit Ball: A Survey Paper

David EelbodeFranciscus Sommen

Differential Forms in Clifford Analysis

David EelbodeFranciscus Sommen

Hypergeometric functions and the ultrahyperbolic Dirac operator

David EelbodeFranciscus Sommen

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Monogenic function theory on Poincare geometry by means of a projective model

David EelbodeFranciscus Sommen

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

The Dirac operator on ultrahyperbolic manifolds

David EelbodeFranciscus Sommen

A2 Journal Article in Tokyo journal of mathematics

2005

De veralgemeende (hyperbolische) tangentialis van tweede orde in Clifford-analyse

Bram De KnockDavid Eelbode

Bookchapter in Richard Delanghe: een veelzijdig wiskundige

Integral transforms with ultrahyperbolic photogenic Cauchy kernels

On a bi-axial system related to the hyperbolic Dirac equation

David EelbodeFranciscus Sommen

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

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

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode

The fundamental solution of the hyperbolic Dirac operator on R-1,R-m: a new approach

David EelbodeFranciscus Sommen

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

The photogenic Cauchy transform

David EelbodeFranciscus Sommen

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

2004

Arbitrary complex powers of the Dirac operator on the hyperbolic unit ball

A1 Journal Article in ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

Clifford analysis on the hyperbolic unit ball

David EelbodeFranciscus Sommen

Fundamental solutions for first order Spin(l, m)-invariant differential operators

A1 Journal Article in ARCHIV DER MATHEMATIK

On Riesz distributions and integer powers of the Dirac operator on the hyperbolic unit ball

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

On the generalized Cauchy transform of power functions

David EelbodeFranciscus Sommen

A1 Journal Article in ARCHIV DER MATHEMATIK

Taylor series on the hyperbolic unit ball

David EelbodeFranciscus Sommen

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

The fundamental solution of the hyperbolic Dirac-equation

David EelbodeFranciscus Sommen

The inverse Radon transform and the fundamental solution of the hyperbolic Dirac equation

David EelbodeFranciscus Sommen

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

2003

Solutions for the hyperbolic Dirac equation on R_{1,m}

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS