Research Explorer

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Researcher

Franciscus Sommen

Awards & Distinctions

295 Results

2022

The monogenic Hua–Radon transform and its inverse

Denis ConstalesHendrik De BieTeppo MertensFranciscus Sommen

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

2021

Discrete weierstrass transform in discrete hermitian clifford analysis

Astrid MasséFranciscus SommenHilde De RidderTim Raeymaekers

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Inversions for the Hua-Radon and the polarized Hua-Radon transform

Teppo MertensFranciscus Sommen

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

The Spin group in superspace

Hennie De SchepperAli Guzmán AdánFranciscus Sommen

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

2020

Bargmann–Radon transform for axially monogenic functions

Ali Guzmán AdánRen HuTim RaeymaekersFranciscus Sommen

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Pizzetti and Cauchy formulae for higher dimensional surfaces : a distributional approach

Ali Guzmán AdánFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2019

Hypermonogenic plane wave solutions of the dirac equation in superspace

Ali Guzmán AdánHeikki OrelmaFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Hypermonogenic solutions and plane waves of the Dirac operator in R-p x R-q

Ali Guzmán AdánHeikki OrelmaFranciscus Sommen

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Radon-type transforms for holomorphic functions in the lie ball

Irene SabadiniFranciscus Sommen

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

Szegö–radon transform for baxially monogenic functions

Ren HuTim RaeymaekersFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

2018

Bochner-Martinelli formula in superspace

Juan Bory ReyesAli Guzmán AdánFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Distributions and integration in superspace

Ali Guzmán AdánFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Euclidean and Hermitian Clifford analysis on superspace

Ali Guzmán AdánFranciscus SommenHennie De SchepperJuan Bory Reyes

Hermitian Clifford analysis on superspace

Hennie De SchepperAli Guzmán AdánFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Spin actions in Euclidean and Hermitian Clifford analysis in superspace

Hennie De SchepperAli Guzmán AdánFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2017

A Cauchy kernel for the Hermitian submonogenic system

Fabrizio ColomboDixan Peña PeñaFranciscus Sommen

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

Fueter’s theorem for monogenic functions in biaxial symmetric domains

Dixan Peña PeñaIrene SabadiniFranciscus Sommen

A1 Journal Article in RESULTS IN MATHEMATICS

On a mixed fischer decomposition in Clifford analysis

Juan Bory ReyesHennie De SchepperAli Guzmán AdánFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

On the Bargmann–Radon transform in the monogenic setting

Fabrizio ColomboIrene SabadiniFranciscus Sommen

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

On the radial derivative of the delta distribution

Fred BrackxFranciscus SommenJasson Vindas Diaz

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

On two-sided monogenic functions of axial type

Dixan Peña PeñaIrene SabadiniFranciscus Sommen

A1 Journal Article in MOSCOW MATHEMATICAL JOURNAL

Plane wave formulas for spherical, complex and symplectic harmonics

Hendrik De BieFranciscus SommenMichael Wutzig

A1 Journal Article in JOURNAL OF APPROXIMATION THEORY

Polynomial solutions of the Hermitian submonogenic system

Dixan Peña PeñaIrene SabadiniFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Segal-Bargmann-Fock modules of monogenic functions

Dixan Peña PeñaIrene SabadiniFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis

Hennie De SchepperAli Guzmán AdánFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

2016

A fourier–Borel transform for monogenic functionals

Irene SabadiniFranciscus Sommen

A1 Journal Article in JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN

Differential forms and Clifford analysis

Irene SabadiniFranciscus Sommen

Examples of morphological calculus

Franciscus Sommen

Fueter’s theorem in discrete Clifford analysis

Hilde De RidderFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Higher order Borel–Pompeiu representations in Clifford analysis

Juan Bory ReyesHennie De SchepperAli Guzmán AdánFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Models for some irreducible representations of so (m, C) in discrete Clifford analysis

Hilde De RidderTim Raeymaekers

Modern trends in hypercomplex analysis

On the Szego-Radon projection of monogenic functions

Fabrizio ColomboIrene SabadiniFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED MATHEMATICS

Reproducing kernels for polynomial null-solutions of Dirac operators

Hendrik De BieFranciscus SommenMichael Wutzig

A1 Journal Article in CONSTRUCTIVE APPROXIMATION

Riemann-Hilbert problems for monogenic functions in axially symmetric domains

Fuli Hemin KuUwe KählerFranciscus SommenSwanhild Bernstein

A1 Journal Article in BOUNDARY VALUE PROBLEMS

Riemann-Hilbert problems for null-solutions to iterated generalized Cauchy-Riemann equations in axially symmetric domains

Fuli HeMin KuUwe KählerFranciscus SommenSwanhild Bernstein

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

Rotations in discrete Clifford analysis

Hilde De RidderTim RaeymaekersFranciscus Sommen

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Script geometry

Paula CerejeirasUwe KählerFranciscus SommenAdrian Vajiac

Vekua systems in hyperbolic harmonic analysis

Sirkka-Liisa ErikssonHeikki OrelmaFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

2015

Biaxial monogenic functions from Funk-Hecke's formula combined with Fueter's theorem

Dixan Peña PeñaFranciscus Sommen

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

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

Discrete Clifford analysis

Uwe KählerFranciscus Sommen

Bookchapter in Operator theory

Hermitian clifford analysis

Irene SabadiniFranciscus Sommen

Bookchapter in Operator theory

Higher order Borel-Pompeiu representations

Juan Bory ReyesHennie De SchepperAli Guzmán AdánFranciscus Sommen

Introductory clifford analysis

Hennie De SchepperFranciscus Sommen

Bookchapter in Operator theory

2014

A new integral formula for the inverse Fueter mapping theorem

Fabrizio ColomboDixan Peña PeñaIrene SabadiniFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

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

Discrete hardy spaces

Paula CerejeirasUwe KahlerFranciscus Sommen

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Distributions and the global operator of slice monogenic functions

Fabrizio ColomboFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Generating functions of orthogonal polynomials in higher dimensions

Hendrik De BieDixan Peña PeñaFranciscus Sommen

A1 Journal Article in JOURNAL OF APPROXIMATION THEORY

Holomorphic approximation of L2-functions on the unit sphere in R3

Nele De SchepperTao QianFranciscus SommenJinxun Wang

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Hypercomplex analysis: new perspectives and applications

On solutions of a discretized heat equation in discrete Clifford analysis

Franka BaaskeSwanhild BernsteinHilde De RidderFranciscus Sommen

A1 Journal Article in JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

Sato's hyperfunctions and boundary values of monogenic functions

Irene SabadiniFranciscus SommenDaniele Struppa

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Special functions and systems in Hermitian Clifford analysis: higher codimension

Nele De SchepperDixan Peña PeñaFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Taylor series expansion in discrete Clifford analysis

Hilde De RidderHennie De SchepperFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

The Fueter primitive of biaxially monogenic functions

Fabrizio ColomboIrene SabadiniFranciscus Sommen

A1 Journal Article in COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Twisted plane wave expansions using hypercomplex methods

Fabrizio ColomboIrene SabadiniFranciscus SommenDaniele Struppa

A1 Journal Article in PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

2013

Advances in hypercomplex analysis

Cauchy-Kowalevski extensions and monogenic plane waves using spherical monogenics

Nele De SchepperFranciscus Sommen

A1 Journal Article in BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

Clifford superanalysis

Franciscus Sommen

Complex boosts: a Hermitian Clifford algebra approach

Milton FerreiraFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Discrete Clifford analysis: function theory and integral transforms

Hilde De RidderHennie De SchepperFranciscus Sommen

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

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

Special functions and systems in Hermitian Clifford analysis

Nele De SchepperDixan Peña PeñaFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

The inverse Fueter mapping theorem in integral form using spherical monogenics

Fabrizio ColomboIrene SabadiniFranciscus Sommen

A1 Journal Article in ISRAEL JOURNAL OF MATHEMATICS

2012

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

An overview on the inverse Fueter mapping theorem

Fabrizio ColomboIrene SabadiniFranciscus Sommen

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

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

Cauchy-Kowalevski extensions and monogenic plane waves in Clifford analysis

Nele De SchepperFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Closed form of the Fourier-Borel kernel in the framework of Clifford analysis

Nele De SchepperFranciscus Sommen

A1 Journal Article in RESULTS IN MATHEMATICS

Discrete Clifford analysis: the one-dimensional setting

Hendrik De BieHilde De RidderFranciscus Sommen

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Fueter polynomials in discrete Clifford analysis

Hilde De RidderHennie De SchepperFranciscus Sommen

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

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

Phase derivative of monogenic signals in higher dimensional spaces

Yan YangTao QianFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Vekua type systems related to two-sided monogenic functions

Dixan Peña PeñaFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

2011

A Cauchy-Kowalevski theorem for inframonogenic functions

Helmuth MalonekDixan Peña PeñaFranciscus Sommen

A2 Journal Article in MATHEMATICAL JOURNAL OF OKAYAMA UNIVERSITY

A discrete Bochner-Martinelli formula

Juan Bory-ReyesFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

A holomorphic extension theorem using Clifford analysis

Ricardo Abreu-BlayaJuan Bory-ReyesDixan Peña PeñaFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Annihilators for harmonic differential forms via Clifford analysis

Ricardo Abreu-BlayaJuan Bory-ReyesRichard DelangheFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Elements of metrodynamics: the general setting

Irene SabadiniFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Harmonic analysis and integration in superspace

Kevin CoulembierHendrik De BieFranciscus Sommen

Harmonic and monogenic functions in superspace

Kevin CoulembierHendrik De BieFranciscus Sommen

Hypercomplex analysis and applications

Operator identities in q-deformed Clifford analysis

Kevin CoulembierFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Orthogonality of Hermite polynomials in superspace and Mehler type formulae

Kevin CoulembierHendrik De BieFranciscus Sommen

A1 Journal Article in PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis

Hilde De RidderHennie De SchepperFranciscus Sommen

A1 Journal Article in COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

The class of Clifford-Fourier transforms

Hendrik De BieNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

The inverse Fueter mapping theorem

Fabrizio ColomboIrene SabadiniFranciscus Sommen

A1 Journal Article in OMMUNICATIONS ON PURE AND APPLIED ANALYSIS

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

A higher order integral representation formula in isotonic Clifford analysis

Juan Bory ReyesHelmuth R. MalonekDixan Peña PeñaFranciscus Sommen

A note on the Fueter theorem

Dixan Peña PeñaFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Biregular extendability via isotonic Clifford analysis

Ricardo Abreu BlayaJuan Bory ReyesDixan Peña PeñaFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Discrete function theory based on skew Weyl relations

Hilde De RidderHennie De SchepperUwe KaehlerFranciscus Sommen

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Fischer decomposition by inframonogenic functions

Helmuth MalonekDixan Peña PeñaFranciscus Sommen

A2 Journal Article in CUBO (TEMUCO)

Fueter's theorem: the saga continues

Dixan Peña PeñaFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Holomorphic extension theorems in Lipschitz domains of C^2

Ricardo Abreu BlayaJuan Bory ReyesDixan Peña PeñaFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Orthosymplectically invariant functions in superspace

Kevin CoulembierHendrik De BieFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis

Hilde De RidderHennie De SchepperFranciscus Sommen

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 fueter mapping theorem in integral form and the F-functional calculus

Fabrizio ColomboIrene SabadiniFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

q-deformed harmonic and Clifford analysis and the q-Hermite and Laguerre polynomials

Kevin CoulembierFranciscus Sommen

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

2009

A Cauchy integral formula in superspace

Hendrik De BieFranciscus Sommen

A1 Journal Article in BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

A basic framework for discrete Clifford analysis

Hennie De SchepperFranciscus SommenLiesbet Van de Voorde

A1 Journal Article in EXPERIMENTAL MATHEMATICS

An invitation to Clifford analysis on superspace

Hendrik De BieFranciscus Sommen

Criteria for monogenicity of Clifford-algebra-valued functions

Ricardo Abreu BlayaJuan Bory ReyesDixan Peña PeñaFranciscus Sommen

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

Integration in superspace using distribution theory

Kevin CoulembierHendrik De BieFranciscus Sommen

A1 Journal Article in Journal of Physics A-Mathematical and Theoretical

Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

Dixan Peña PeñaFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

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

On the CK-extension for a Special Overdetermined System in Complex Clifford Analysis

Bram De KnockDixan Peña PeñaFranciscus Sommen

Polynomial Invariants for the Rarita-Schwinger Operator

David EelbodeDalibor Smid

Special power series expansions of monogenic functions around surfaces of codimension two

Dixan Peña PeñaFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Spherical harmonics and integration in superspace II

Hendrik De BieDavid EelbodeFranciscus Sommen

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

The Fourier transform in Clifford analysis

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in ADVANCES IN IMAGING AND ELECTRON PHYSICS

The Hilbert Transform on the Unit Sphere in R^m

Fred BrackxHennie De Schepper

Vector and bivector Fourier transforms in Clifford analysis

Hendrik De BieFranciscus Sommen

2008

A boundary value problem for Hermitian monogenic functions

RA BLAYAJB REYESDP PENAFranciscus Sommen

A1 Journal Article in BOUNDARY VALUE PROBLEMS

A new Hilbert transform in Hermitean Clifford analysis

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

Fischer decompositions in superspace

Hendrik De BieFranciscus Sommen

Fourier-Borel Transforms in Clifford Analysis and the Dual Fischer Decomposition

Franciscus Sommen

Fundamental solutions for the super Laplace and Dirac operators and all their natural powers

Hendrik De BieFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

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

Harmonic and Clifford analysis in superspace

Hendrik De BieFranciscus Sommen

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

On steering monogenic functions.

Dixan Peña PeñaFranciscus Sommen

A2 Journal Article in COMMUNICATIONS IN MATHEMATICAL ANALYSIS

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

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 Clifford analysis approach to superspace

Hendrik De BieFranciscus Sommen

A1 Journal Article in ANNALS OF PHYSICS

A Davydov theorem for the isotonic Cauchy transform.

J BORY REYESDixan Peña PeñaFranciscus Sommen

A2 Journal Article in Journal of Analysis and Applications

A Martinelli-Bochner formula for the Hermitian Dirac equation

Franciscus SommenD PENA-PENA

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

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

Codimension-p Paley-Wiener theorems

Y YANGT QIANFranciscus Sommen

A1 Journal Article in ARKIV FOR MATEMATIK

Continuous wavelet transform and wavelet frames on the sphere using Clifford analysis

P CEREJEIRASM FERREIRAU KAHLERFranciscus Sommen

A1 Journal Article in COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Correct rules for Clifford calculus on superspace

Hendrik De BieFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Discrete Dirac operators in Clifford analysis

Nelson FaustinoUwe KählerFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Duality for harmonic differential forms via Clifford analysis

Ricardo Abreu BlayaJuan Bory ReyesRichard DelangheFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Fischer decomposition and special solutions for the parabolic Dirac operator

P CEREJEIRASFranciscus SommenN VIEIRA

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

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

Haar wavelets is a Clifford algebra

Franciscus Sommen

Hermite and Gegenbauer polynomials in superspace using Clifford analysis

Hendrik De BieFranciscus Sommen

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

Hermitean Clifford-Hermite polynomials

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Martinelli-Bochner formula using Clifford analysis

Franciscus SommenDP PENA

A1 Journal Article in ARCHIV DER MATHEMATIK

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

Partial primitives for Clifford algebra-valued functions

David EelbodeFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Quaternionic Clifford analysis: the hermitian setting

Dixan Peña PeñaIrene SabadiniFranciscus Sommen

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Sampling with bessel functions

Kit Ian KouTao QianFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Some power series expansions for monogenic functions

Dixan Peña PeñaFranciscus Sommen

A2 Journal Article in COMPUTATIONAL METHODS AND FUNCTION THEORY

Spherical harmonics and integration in superspace

Hendrik De BieFranciscus Sommen

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

The Mehler Formula for the Generalized Clifford-Hermite Polynomials

Fred BrackxNele De SchepperKI KOUFranciscus Sommen

A1 Journal Article in ACTA MATHEMATICA SINICA-ENGLISH SERIES

The generalized Hermitean Clifford-Hermite continuous wavelet transform

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

The isotonic Cauchy transform

Ricardo Abreu BlayaJuan Bory ReyesDixan Peña PeñaFranciscus Sommen

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

2006

A generalization of Fueter’s theorem

Dixan Peña PeñaFranciscus Sommen

A2 Journal Article in Results in mathematics

An alternative proof of Fueter's theorem

Dixan Peña PeñaTao QianFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Clifford Analysis on the Hyperbolic Unit Ball: A Survey Paper

David EelbodeFranciscus Sommen

Clifford analysis on the null cone

Franciscus Sommen

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

Fred BrackxNele De SchepperFranciscus Sommen

Clifford-Hermite-Monogenic Operators in the Polynomial Framework

Fred BrackxNele De SchepperFranciscus Sommen

Clifford-Hermite-monogenic operators

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in CZECHOSLOVAK MATHEMATICAL JOURNAL

Curved Radon transforms and factorization of the Veronese equations in Clifford analysis

Bram De KnockNele De SchepperFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Differential Forms in Clifford Analysis

David EelbodeFranciscus Sommen

Distributions in Clifford Analysis: an Overview

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

Elements of metrodynamics

Franciscus Sommen

Hermitian Clifford-Hermite wavelets

Fred BrackxHennie De SchepperNele De SchepperFranciscus Sommen

Hyperbolic L-2-modules with reproducing kernels

D EELPODEFranciscus Sommen

A1 Journal Article in ACTA MATHEMATICA SINICA-ENGLISH SERIES

Hypergeometric functions and the ultrahyperbolic Dirac operator

David EelbodeFranciscus Sommen

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Metric Dependent Clifford Analysis with Applications to Wavelet Analysis

Fred BrackxNele De SchepperFranciscus Sommen

Bookchapter in Wavelets, Multiscale Systems and Hypercomplex Analysis

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

David EelbodeFranciscus Sommen

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

Fred BrackxNele De SchepperFranciscus Sommen

Power series expansions of monogenic functions around surfaces of codimension two

Dixan Peña PeñaFranciscus Sommen

Fred BrackxHennie De SchepperFranciscus Sommen

Editorial material

Separation of variables in Clifford analysis and its application to Rarita-Schwinger field

J BuresFranciscus SommenV SoucekPeter Van Lancker

The Dirac operator on ultrahyperbolic manifolds

David EelbodeFranciscus Sommen

A2 Journal Article in Tokyo journal of mathematics

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

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

Clifford algebra-valued orthogonal polynomials in Euclidean space

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF APPROXIMATION THEORY

Differential forms and/or multi-vector functions

Fred BrackxRichard DelangheFranciscus Sommen

A2 Journal Article in CUBO - A MATHEMATICAL JOURNAL

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

David EelbodeFranciscus Sommen

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains

P CEREJEIRASU KAHLERFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Special power series expansions for monogenic functions

Franciscus SommenDixan Peña Peña

Bookchapter in Richard Delanghe: een veelzijdig wiskundige

The Clifford-Fourier transform

Fred BrackxNele De SchepperFranciscus Sommen

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

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

Advances in analysis and geometry - new developments using Clifford algebras

Analysis of Dirac systems and computational algebra

Fabrizio ColomboIrene SabadiniFranciscus SommenDaniele Struppa

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

Clifford analysis on the hyperbolic unit ball

David EelbodeFranciscus Sommen

Clifford analysis on the space of vectors, bivectors and l-vectors

I SABADINIFranciscus Sommen

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 the generalized Cauchy transform of power functions

David EelbodeFranciscus Sommen

A1 Journal Article in ARCHIV DER MATHEMATIK

Spherical means and distributions in Clifford analysis

Fred BrackxRichard DelangheFranciscus Sommen

Taylor series on the hyperbolic unit ball

David EelbodeFranciscus Sommen

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

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

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

Analysis of matrix Dirac operators

Franciscus Sommen

A2 Journal Article in JOURNAL OF NATURAL GEOMETRY

Clifford analysis on super-space II

Franciscus Sommen

Deriving harmonic functions in higher dimensional spaces

T QIANFranciscus Sommen

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 Dirac complex on abstract vector variables: Megaforms

I SABADINIFranciscus SommenDC STRUPPA

A1 Journal Article in EXPERIMENTAL MATHEMATICS

The Hermite transform in quaternionic analysis

Fred BrackxNele De SchepperFranciscus Sommen

The bi-axial Clifford-Hermite continuous wavelet transform

Fred BrackxNele De SchepperFranciscus Sommen

A2 Journal Article in JOURNAL OF NATURAL GEOMETRY

The higher dimensional Hermite transform: a new approach

Fred BrackxNele De SchepperFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

2002

Analysis using abstract vector variables

Franciscus Sommen

Benchmarking of three-dimensional Clifford wavelet functions

Fred BrackxFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

Clifford analysis in applications

Clifford analysis on projective hyperbolic space

P CerejeirasU KahlerFranciscus Sommen

A2 Journal Article in JOURNAL OF NATURAL GEOMETRY

Clifford analysis on projective hyperbolic space II

Franciscus SommenP CerejeirasU Kahler

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Clifford-Bessel wavelets in Euclidean space

Fred BrackxFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Complexes of Dirac operators in Clifford algebras

I SabadiniDC StruppaFranciscus SommenPeter Van Lancker

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

Hermitian Clifford analysis and resolutions

I SABADINIFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Integral Theorems for Functions and Differential Forms in C(M): vol. 428.

R ROCHA-CHAVEZM SHAPIROFranciscus Sommen

Introduction to Clifford analysis

Franciscus SommenWolfgang Sprössig

Editorial material

On conjugate harmonic functions in Euclidean space

Fred BrackxRichard DelangheFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Series and integral representations for the biregular exponential function

I SabadiniFranciscus SommenDaniele C Struppa

A2 Journal Article in JOURNAL OF NATURAL GEOMETRY

Special first order systems in Clifford analysis and resolutions.

I SABADINIFranciscus Sommen

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Symmetric analogues of Rarita-Schwinger equations

J BurešFranciscus SommenV SoučekPeter Van Lancker

A1 Journal Article in ANNALS OF GLOBAL ANALYSIS AND GEOMETRY

Syzygies and conservation laws

F COLOMBOI SABADINIFranciscus SommenDC STRUPPA

A1 Journal Article in FOUNDATIONS OF PHYSICS LETTERS

The spherical X-ray transform

P CerejeirasH SchaebenFranciscus Sommen

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2001

Clifford analysis on super-space

Franciscus Sommen

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Clifford analysis on the level of abstract vector variables

Franciscus Sommen

Combinatorics and Clifford analysis

I SABADINIFranciscus Sommen

Combinatorics and Clifford analysis

I SABADINIFranciscus Sommen

Computational algebra and its promises for analysis

I SabadiniFranciscus SommenDC Struppa

A2 Journal Article in QUADERNI DI MATEMATICA

Models for irreducible representations of Spin(m)

Peter Van LanckerFranciscus SommenDenis Constales

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Rarita-Schwinger type operators in Clifford analysis

J BuresFranciscus SommenV SoucekPeter Van Lancker

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

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

An extension of Clifford analysis towards super-symmetry.

Franciscus Sommen

Analysis of functional and differential forms in C-m

R ROCHA-CHAVEZM SHAPIROFranciscus Sommen

Clifford-Hermite wavelets in Euclidean space

Fred BrackxFranciscus Sommen

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Integral theorems for solutions of the complex Hodge-Dolbeault system

R ROCHA-CHAVEZM SHAPIROFranciscus Sommen

Multivariable functions of higher spin

Franciscus SommenG Bernardes

A2 Journal Article in JOURNAL OF NATURAL GEOMETRY

On a generalization of Fueter's theorem.

Franciscus Sommen

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

1999

Clifford analysis in two and several vector variables

Franciscus Sommen

A2 Journal Article in APPLICABLE ANALYSIS

1998

Curved radon transforms in Clifford analysis

Franciscus Sommen

Homogeneous monogenic functions in Euclidean space.

Franciscus SommenPeter Van Lancker

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

The general quadratic Radon transform.

K DENECKERJ VAN OVERLOOPFranciscus Sommen

A1 Journal Article in INVERSE PROBLEMS

Vector manifolds from structure functions

Franciscus SommenM Watkins

A2 Journal Article in JOURNAL OF NATURAL GEOMETRY

1997

A product for special classes of monogenic functions and tensors

Franciscus SommenPeter Van Lancker

A2 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

An algebra of abstract vector variables

Franciscus Sommen

Clifford analysis on the unit sphere

P. Van LanckerFranciscus SommenR. Delanghe

Defining a q-deformed version of Clifford analysis

Franciscus Sommen

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

Explicit solutions of the inhomogeneous Dirac equation.

Franciscus SommenB JANCEWICZ

A1 Journal Article in JOURNAL D ANALYSE MATHEMATIQUE

The problem of defining abstract bivectors

Franciscus Sommen

A2 Journal Article in Results in mathematics

1996

Functions on the spingroup

Franciscus Sommen

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Monogenic Functions of Higher Spin

Franciscus Sommen

A2 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Special first order systems in Clifford Analysis

Franciscus Sommen

1995

Introducing q-deformation on the level of vector variables

Franciscus SommenM Watkins

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

1994

Clifford tensor calculus

Franciscus Sommen

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Functions of two vector variables

Franciscus SommenNadine Van Acker

A2 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

Reproducing Bergman kernels in Clifford analysis

Fred BrackxFranciscus SommenNadine Van Acker

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

Special bi-axial monogenic functions

AK CommonFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

1993

A distributional approach to vector manifolds

Franciscus SommenM WATKINS

Axial Monogenic functions from Holomorphic functions.

AK COMMONFranciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Cauchy Transforms and bi-axial monogenic power functions

AK COMMONFranciscus Sommen

Invariant differential operators on polynomial-valued functions

Franciscus SommenNadine Van Acker

Lie-groups as Spin groups.

C DORAND HESTENESFranciscus SommenN VANACKER

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Reproducing Kernels on the Unit Sphere

Fred BrackxRichard DelangheFranciscus SommenNadine Van Acker

SO(M)-INVARIANT DIFFERENTIAL-OPERATORS ON CLIFFORD ALGEBRA-VALUED FUNCTIONS

Franciscus SommenNadine Van Acker

A1 Journal Article in FOUNDATIONS OF PHYSICS

SO(m)-invariant operators on Clifford tensors

Franciscus Sommen

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

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

Monogenic differential operators

Franciscus SommenNadine Van Acker

A2 Journal Article in Results in mathematics

Residues in Clifford analysis

Richard DelangheFranciscus SommenV Soucek

Bookchapter in Partial differential equations with complex analysis

1991

Monogenic differential calculus

Franciscus Sommen

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

1990

Clifford analysis, biaxial symmetry and pseudoanalytic functions

G JankFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES : THEORY AND APPLICATIONS

Spherical monogenics on the Lie sphere

Franciscus Sommen

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

1988

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

Special functions in Clifford analysis and axial symmetry

Franciscus Sommen

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

1985

Monogenic functions on surfaces

Franciscus Sommen

A1 Journal Article in JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

On distributional boundary values and the zeros of harmonic functions

Franciscus Sommen

A1 Journal Article in JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

1984

Monogenic differential forms and homology theory

Franciscus Sommen

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

1982

Clifford analysis

Fred BrackxRichard DelangheFranciscus Sommen

Hypercomplex Fourier and Laplace transforms I

Franciscus Sommen

A1 Journal Article in ILLINOIS JOURNAL OF MATHEMATICS

1981

A product and an exponential function in hypercomplex function theory

Franciscus Sommen

A1 Journal Article in APPLICABLE ANALYSIS

Clifford analysis and integral geometry. Proc. Second Workshop on Clif ford Algebras, Kluwer Acad. Publ., 1992, pp. 293-311.

Franciscus Sommen

Fundamental solutions for operators which are polynomials in the Dirac operator. Proc. Second Workshop on Clifford Alfebras, Kluwer Acad. Publ., 1992.PP. 312-326.

Franciscus SommenXU ZHENYUAN

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