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.
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author = {W. Jurkat and D. Nonnenmacher},
title = {A theory of non-absolutely convergent integrals in {Rn} with singularities on a regular boundary},
journal = {Fundamenta Mathematicae},
pages = {69--84},
publisher = {mathdoc},
volume = {146},
number = {1},
year = {1994},
doi = {10.4064/fm-146-1-69-84},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-146-1-69-84/}
}
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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
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