Geodesic
An axiomatic theory of non-absolutely convergent integrals in Rn
Fundamenta Mathematicae, Tome 145 (1994) no. 3, pp. 221-242
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We introduce an axiomatic approach to the theory of non-absolutely convergent integrals. The definition of our ν-integral will be descriptive and depends mainly on characteristic null conditions. By specializing our concepts we will later obtain concrete theories of integration with natural properties and very general versions of the divergence theorem. 
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W. Jurkat; D. Nonnenmacher. An axiomatic theory of non-absolutely convergent integrals in Rn. Fundamenta Mathematicae, Tome 145 (1994) no. 3, pp. 221-242. doi: 10.4064/fm-145-3-221-242

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