Research Explorer

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Researcher

Richard Delanghe

Awards & Distinctions

66 Results

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

Duality for Hermitean systems in R2n

Ricardo Abreu-BlayaJuan Bory-ReyesRichard DelangheFrank 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

The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces

Vladimir SoučekRichard DelangheRoman Lávička

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean space

Richard DelangheRoman LavickaVladimir Soucek

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2011

Annihilators for harmonic differential forms via Clifford analysis

Ricardo Abreu-BlayaJuan Bory-ReyesRichard DelangheFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems

Richard DelangheRoman LávičkaVladimír Souček

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

2010

On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space

Richard Delanghe

A2 Journal Article in CUBO - A MATHEMATICAL JOURNAL

2009

In memoriam Jarolim Bureš (1942-2006)

Richard Delanghe

On homogeneous polynomial solutions of the Moisil-Théodorescu system in R^3

Richard Delanghe

A2 Journal Article in COMPUTATIONAL METHODS AND FUNCTION THEORY

On the structure of solutions of the Moisil-Theodoresco system in Euclidean space

Juan Bory-ReyesRichard Delanghe

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

2008

Generalized Moisil-Théodoresco systems and Cauchy integral decompositions

Ricardo Abreu BlayaJuan Bory ReyesRichard DelangheFranciscus Sommen

A2 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES

On Moisil-Theodoresco Systems in Euclidean Space

Richard Delanghe

On a class of inner spherical monogenics and their primitives

Richard Delanghe

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

On the solutions of the Moisil-Theodoresco system

Juan Bory-ReyesRichard Delanghe

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2007

Duality for harmonic differential forms via Clifford analysis

Ricardo Abreu BlayaJuan Bory ReyesRichard DelangheFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Half Dirichlet problems and decompositions of Poisson kernels

Richard DelangheTao Qian

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

On conjugate harmonic pairs (U-r, Vr-1) of multi-vector valued functions

Richard Delanghe

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

On homogeneous polynomial solutions of the Riesz system and their harmonic potentials

Richard Delanghe

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

On the Schwarz reflection principle for monogenic functions

Richard DelangheFranciscus Sommen

A1 Journal Article in ARCHIV DER MATHEMATIK

On the structure of harmonic multi-vector functions

Richard DelangheFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

2006

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

Fred BrackxRichard Delanghe

On primitives of monogenic functions

Richard Delanghe

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

2005

Cauchy integral decomposition of multi-vector valued functions on hypersurfaces

Ricardo Abreu BlayaJuan Bory ReyesRichard DelangheFranciscus Sommen

A2 Journal Article in COMPUTATIONAL METHODS AND FUNCTION THEORY

Differential forms and/or multi-vector functions

Fred BrackxRichard DelangheFranciscus Sommen

A2 Journal Article in CUBO - A MATHEMATICAL JOURNAL

2004

Harmonic multivector fields and the Cauchy integral decomposition in Clifford analysis

R ABREU-BLAYAJ BORY-REYESRichard DelangheFranciscus Sommen

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

On some properties of the Hilbert transform in Euclidean space

Richard Delanghe

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

Spherical means and distributions in Clifford analysis

Fred BrackxRichard DelangheFranciscus Sommen

2003

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

Una invitacion al Análisis de Clifford

Richard DelangheJ BORY REYES

A2 Journal Article in Revista Ciencas Mathematicas

2002

On conjugate harmonic functions in Euclidean space

Fred BrackxRichard DelangheFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On the Hardy spaces of harmonic and monogenic functions in the unit ball of R^{m+1}

Richard Delanghe

Some remarks on the principal value kernel in Rm

Richard Delanghe

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

2001

Clifford analysis: history and perspective

Richard Delanghe

A2 Journal Article in COMPUTATIONAL METHODS AND FUNCTION THEORY

Differentiability of functions with values in some real associative algebras: approaches to an old problem

Richard DelangheRolf Soeren Krausshar

A4 Journal Article in BULLETIN DE LA SOCIETE ROYALE DES SCIENCES DE LIEGE

Qp-spaces in Clifford analysis

Jan CnopsRichard DelangheKlaus GuerlebeckMichael Shapiro

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

1999

Möbius invariant spaces in the unit ball

Jan CnopsRichard Delanghe

A2 Journal Article in APPLICABLE ANALYSIS

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 (Ie deel)

Fred BrackxRichard DelangheCharles Thas

A4 Journal Article in WISKUNDE & ONDERWIJS

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

Fred BrackxRichard DelangheCharles Thas

A4 Journal Article in WISKUNDE & ONDERWIJS

1993

A distributional approach to vector manifolds

Franciscus SommenM WATKINS

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

The Clifford algebra R_{m,m} as an algebra of endomorphisms

Richard DelangheFranciscus SommenNadine Van Acker

A2 Journal Article in Seminari di Geometria (Universita Bologna)

1992

A Generalised Christoffel-Darboux formula and reproducing kernels in spaces of polymonogenic and polyharmonic functions

Jan CnopsRichard Delanghe

A2 Journal Article in Recent Results in Mathematics

An explicit realization of spinor spaces and its applications to Clifford analysis

Richard DelangheFranciscus SommenV Soucek

A2 Journal Article in APPLICABLE ANALYSIS

Clifford algebra and spinor valued functions: a function theory for the Dirac operator

Richard DelangheFranciscus SommenVladimir Soucek

On the structure of spinor-valued differential forms

Richard DelangheVladimir Soucek

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

Residues in Clifford analysis

Richard DelangheFranciscus SommenV Soucek

Bookchapter in Partial differential equations with complex analysis

1988

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

1987

Generalized spectral measures

Richard DelangheJulien Van hamme

A1 Journal Article in PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES

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

1979

N-Semigroups as Codomain of Measures

Richard DelangheChristian Impens

A1 Journal Article in Semigroup Forum

1978

Hypercomplex function theory and Hilbert modules with reproducing kernel

Richard DelangheFred Brackx

A1 Journal Article in PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

1974

Minimal quasi-ideals and minimal bi-ideals in compact semigroups

Richard Delanghe

A1 Journal Article in ACTA SCIENTIARUM MATHEMATICARUM

1972

Singularities of functions with values in a Clifford algebra

Richard Delanghe

A1 Journal Article in MATHEMATISCHE ANNALEN

1971

On the analogue of Koebe's theorem for functions with values in a Clifford algebra

Richard Delanghe

A1 Journal Article in MATHEMATISCHE ANNALEN

1970

On regular-analytic functions with values in a Clifford algebra

Richard Delanghe

A1 Journal Article in MATHEMATISCHE ANNALEN

Half Dirichlet problems for powers of the Dirac operator in the unit vail of RAm (m>=3). Bull. Soc. Math. Belg., 1990,43,3B, pp. 409-429.

Richard DelangheFranciscus SommenXU ZHENYUAN

A2 Journal Article