Integration in superspace using distribution theory
K. Coulembier, H. De Bie, F. Sommen
TL;DR
This paper develops new Cauchy integral formulas in superspace using distribution theory, enabling solutions to longstanding problems in harmonic and Clifford analysis within this mathematical framework.
Contribution
Introduces a novel class of Cauchy integral formulas in superspace based on distribution expansions, solving five open problems in harmonic and Clifford analysis.
Findings
New Cauchy integral formulas in superspace
Resolution of five open problems in harmonic analysis
Advancement in Clifford analysis techniques
Abstract
In this paper, a new class of Cauchy integral formulae in superspace is obtained, using formal expansions of distributions. This allows to solve five open problems in the study of harmonic and Clifford analysis in superspace.
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