A Characterization of Multi-Dimensional Perron Integrals and the Fundamental Theorem
A Characterization of Multi-Dimensional Perron Integrals and the Fundamental Theorem
Abstract In this paper weak Perron integrals are characterized as n -dimensional interval functions F which are additive, differentiable almost everywhere in the weak sense and which satisfy a new continuity condition concerning the singular set. Before, only one-dimensional Perron integrals were characterized by the theorem of Hake- Alexendrov-Looman, and …