A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary

Jurkat, W.; Nonnenmacher, D.

Fundamenta Mathematicae, Tome 144 (1994), p. 69-84 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $A \subseteq q ℝ^{n}$ 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.

Publié le : 1994-01-01

Zbl 0817.26005

EUDML-ID : urn:eudml:doc:212052

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     title = {A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary},
     journal = {Fundamenta Mathematicae},
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     year = {1994},
     pages = {69-84},
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Jurkat, W.; Nonnenmacher, D. A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary. Fundamenta Mathematicae, Tome 144 (1994) pp. 69-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv146i1p69bwm/

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