Hake's property of a multidimensional generalized Riemann integral
Henstock-Kurzweil and McShane product integration; descriptive definitions
The Henstock-Kurzweil and McShane product integrals generalize the notion of the Riemann product integral. We study properties of the corresponding indefinite integrals (i.e. product integrals considered as functions of the upper bound of integration). It is shown that the indefinite McShane product integral of a matrix-valued function is absolutely continuous. As a consequence we obtain that the McShane product integral of over exists and is invertible if and only if is Bochner integrable...
Henstock-Kurzweil type integrals in -adic harmonic analysis.