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Franciscus Sommen

Franciscus Sommen

Overview

Franciscus Sommen is affiliated with Ghent University in Belgium and works primarily within the field of Mathematics. Their research focuses on several key subfields, including Applied Mathematics, Computational Theory and Mathematics, and Mathematical Physics.

The main topics in Sommen's work encompass areas such as Algebraic and Geometric Analysis, Mathematical Analysis and Transform Methods, Polynomial and Algebraic Computation, and Advanced Algebra and Geometry.

Among their recent publications are two papers: "Discrete weierstrass transform in discrete hermitian clifford analysis" published in 2020 in Applied Mathematics and Computation and "Szegö-Radon transform for hypermonogenic functions" published in 2021 in the Journal of Geometry and Physics.

Frequent collaborators in their research include:

  • T. Raeymaekers
  • Alexandre Blondin Massé
  • Hilde De Ridder
  • Alí Guzmán Adán
  • Ren Hu

Sommen's work has been published predominantly in venues such as:

  • Applied Mathematics and Computation
  • Journal of Geometry and Physics

Best Publications

  • Clifford Algebra and Spinor-Valued Functions: A Function Theory for the Dirac Operator

    Richard Delanghe;Franciscus Sommen;Vladimir Soucek

  • Clifford Algebra and Spinor-Valued Functions

    R. Delanghe;F. Sommen;V. Souček

  • Analysis of Dirac Systems and Computational Algebra

    Fabrizio Colombo;Irene Sabadini;Franciscus Sommen;Daniele Carlo Struppa

  • Special functions in Clifford analysis and axial symmetry

    Franciscus Sommen

  • Fundaments of Hermitean Clifford Analysis Part I: Complex Structure

    Fred Brackx;Jarolim Bures;Hennie De Schepper;David Eelbode

  • The Clifford-Fourier Transform

    Fred Brackx;Nele De Schepper;Franciscus Sommen

  • The Hermitian Clifford Analysis Toolbox

    Fred Brackx;Hennie De Schepper;Franciscus Sommen

  • On a Generalization of Fueter’s Theorem

    Franciscus Sommen

  • Hermitian Clifford analysis and resolutions

    I Sabadini;Franciscus Sommen

  • The Fueter mapping theorem in integral form and the ℱ‐functional calculus

    Fabrizio Colombo;Irene Sabadini;Franciscus Sommen

  • Spherical harmonics and integration in superspace: II

    H De Bie;H De Bie;D Eelbode;F Sommen

  • A product and an exponential function in hypercomplex function theory

    Franciscus Sommen

  • The inverse Fueter mapping theorem

    Fabrizio Colombo;Irene Sabadini;Franciscus Sommen

  • On conjugate harmonic functions in Euclidean space

    Fred Brackx;Richard Delanghe;Franciscus Sommen

  • The Fourier transform in Clifford analysis

    Fred Brackx;Nele De Schepper;Franciscus Sommen

  • Deriving harmonic functions in higher dimensional spaces

    Tao Qian;Franciscus Sommen

  • On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis

    F. Brackx;B. De Knock;H. De Schepper;F. Sommen

  • The Class of Clifford-Fourier Transforms

    Hendrik De Bie;Nele De Schepper;Franciscus Sommen

  • Discrete Dirac Operators in Clifford Analysis

    Nelson Faustino;Uwe Kähler;Franciscus Sommen

  • An alternative proof of Fueter's theorem

    Dixan Peña Peña;Tao Qian;Franciscus Sommen

Frequent Co-Authors

Irene Sabadini
Irene Sabadini Polytechnic University of Milan
Fabrizio Colombo
Fabrizio Colombo Polytechnic University of Milan
Daniele C. Struppa
Daniele C. Struppa Chapman University

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