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Title

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

Authors 1, 1

Affiliations

  1. Abteilung Mathematik II und V, Universität Ulm, D-89069 Ulm, Germany

Abstract

Specializing a recently developed axiomatic theory of non-absolutely convergent integrals in ℝn, we are led to an integration process over quite general sets A⊆qℝn 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.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm146/fm14615.pdf

Fundamenta Mathematicae
1994-1995/146/1
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Pages:
69-84
Main language of publication
English
Received
1993-08-24
Published
1994
Exact and natural sciences