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arxiv: 1104.1422 · v4 · pith:H6AY5N3Xnew · submitted 2011-04-07 · 🧮 math.FA · math.CA

On the substitution rule for Lebesgue-Stieltjes integrals

classification 🧮 math.FA math.CA
keywords integralslebesgue-stieltjesariseschange-of-variablescontinuitydroppedfindformulae
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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.

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