Geodesic
A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
Fundamenta Mathematicae, Tome 146 (1994) no. 1, pp. 69-84.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Specializing a recently developed axiomatic theory of non-absolutely convergent integrals in $ℝ^n$, we are led to an integration process over quite general sets $A ⊆ q ℝ^n$ with a regular boundary. The integral enjoys all the usual properties and yields the divergence theorem for vector-valued functions with singularities in a most general form.
DOI : 10.4064/fm-146-1-69-84

W. Jurkat 1 ; D. Nonnenmacher 1

1 
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W. Jurkat; D. Nonnenmacher. A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary. Fundamenta Mathematicae, Tome 146 (1994) no. 1, pp. 69-84. doi : 10.4064/fm-146-1-69-84. http://geodesic.mathdoc.fr/articles/10.4064/fm-146-1-69-84/

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