4 papers
On the connection between the Fueter-Sce-Qian theorem and the generalized CK-extension
Antonino De Martino, Kamal Diki, Alí Guzmán Adán
The Fueter-Sce-Qian theorem provides a way of inducing axial monogenic functions in from holomorphic intrinsic functions of one complex variable. This result was…
Pizzetti formulae and the Radon Transform on the Sphere
Alí Guzmán Adán, Mihaela B. Vajiac
In this paper, we obtain Pizzetti-type formulae on regions of the the unit sphere of , and study their applications to the problem of inverting the…
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…
Representation formulae for the determinant in a neighborhood of the identity
Denis Constales, Alí Guzmán Adán
We prove an integral representation and a power series expansion for the function in a small neighborhood of the identity matrix. Both results are closely linked to…