A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
Volume 146 / 1994
Fundamenta Mathematicae 146 (1994), 69-84
DOI: 10.4064/fm-146-1-69-84
Abstract
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.
