Integration in superspace using distribution theory
K Coulembier, H De Bie… - Journal of Physics A …, 2009 - iopscience.iop.org
K Coulembier, H De Bie, F Sommen
Journal of Physics A: Mathematical and Theoretical, 2009•iopscience.iop.org… In this paper, a new class of Cauchy integral formulae in superspace is obtained, using
formal expansions of distributions. This allows us to solve five open problems in the study of
harmonic and Clifford analysis in superspace. … Furthermore, in [12] we obtained a Cauchy
integral formula in superspace and several related results, leading to nice generalizations
of well-known facts in complex analysis. Again, two problems could not be settled. We did
not obtain a generalization of Morera’s theorem, stating that if the …
formal expansions of distributions. This allows us to solve five open problems in the study of
harmonic and Clifford analysis in superspace. … Furthermore, in [12] we obtained a Cauchy
integral formula in superspace and several related results, leading to nice generalizations
of well-known facts in complex analysis. Again, two problems could not be settled. We did
not obtain a generalization of Morera’s theorem, stating that if the …
Abstract
In this paper, a new class of Cauchy integral formulae in superspace is obtained, using formal expansions of distributions. This allows us to solve five open problems in the study of harmonic and Clifford analysis in superspace.
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