32 citations · 237 across the 30 of their papers we have counts for
36 papers
On the Radon transform and the Dirac delta distribution in superspace
Alí Guzmán Adán, Irene Sabadini, Frank Sommen
In this manuscript, we obtain a plane wave decomposition for the delta distribution in superspace, provided that the superdimension is not odd and negative. This decomposition allo…
Inversions for the Hua-Radon and the polarized Hua-Radon transform
Teppo Mertens, Frank Sommen
The Hua-Radon and polarized Hua-Radon transform are two orthogonal projections defined on holomorphic functions in the Lie sphere. Both transformations can be written as integral t…
The monogenic Hua-Radon transform and its inverse
Denis Constales, Hendrik De Bie, Teppo Mertens +1
The monogenic Hua-Radon transform is defined as an orthogonal projection on holomorphic functions in the Lie sphere. Extending the work of Sabadini and Sommen, J. Geom. Anal. 29 (2…
Examples of Morphological Calculus
Frank Sommen
In this paper we present an introduction to morphological calculus in which geometrical objects play the rule of generalised natural numbers.
A primer on Script Geometry
Paula Cerejeiras, Uwe Kaehler, Teppo Mertens +3
This text is an exposition of a new approach into discrete differential geometry, called Script Geometry. In difference to classic approaches while scripts are based on complexes o…
Pizzetti and Cauchy formulae for higher dimensional surfaces: a distributional approach
Alí Guzmán Adán, Frank Sommen
In this paper, we study Pizzetti-type formulas for Stiefel manifolds and Cauchy-type formulas for the tangential Dirac operator from a distributional perspective. First we illustra…