3 papers
math-ph2020
Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace
Alí Guzmán Adán
The aim of this paper is to obtain a generalized CK-extension theorem in superspace for the bi-axial Dirac operator. In the classical commuting case, this result can be written as…
math.CV2018
Bochner-Martinelli formula in superspace
Juan Bory Reyes, Alí Guzmán Adán, Frank Sommen
In a series of recent papers, a harmonic and hypercomplex function theory in superspace has been established and amply developed. In this paper, we address the problem of establish…
math-ph2018
Distributions and Integration in superspace
Alí Guzmán Adán, Frank Sommen
Distributions in superspace constitute a very useful tool for establishing an integration theory. In particular, distributions have been used to obtain a suitable extension of the…