The fundamental theorem of calculus for multidimensional Banach space-valued Henstock vector integrals
For Banach space-valued functions \(f\) and operator valued functions \(\alpha \) defined on multidimensional intervals \([a,b]\) Kurzweil-Henstock-Stieltjes type indefinite integrals \(\int _{[a,t]}\alpha df\) and \(\int _{[a,t]}d \alpha f\) are studied and Newton-Leibniz type formulas are given.
scientific article; zbMATH DE number 1947641