On the substitution rule for Lebesgue-Stieltjes integrals
arXiv:1104.1422 · doi:10.1016/j.exmath.2012.09.002
Abstract
We show how two change-of-variables formulae for Lebesgue-Stieltjes integrals generalize when all continuity hypotheses on the integrators are dropped. We find that a sort of "mass splitting phenomenon" arises.
6 pages
Cited by in corpus (5)
- On the isospectral problem of the dispersionless Camassa-Holm equation
- Sturm-Liouville operators with measure-valued coefficients
- Collective Bias Models in Two-Tier Voting Systems and the Democracy Deficit
- A Verification Theorem for Threshold-Indexability of Real-State Discounted Restless Bandits
- Two inverse spectral problems for a class of singular Krein strings