Article
Preprint

On the Substitution Rule for Lebesgue-Stieltjes Integrals

Neil Falkner and Gerald Teschl

Abstract
We show how two change-of-variables formulae for Lebesgue-Stieltjes integrals generalize when all continuity hypotheses on the integrators are dropped.

MSC2010: Primary 26A42, 26A48; Secondary 28A25, 28-01
Keywords: Lebesgue-Stieltjes integrals, substitution rule, generalized inverse

Download
TeX file (19K) or pdf file (267K)