Abstract
If $F$ is a continuous function of intervals in $ℝ^m$, then its distribution function is continuous. The converse is true if $m = 1$ but false if $m ≥ 2$. In the present note we prove these facts and we explain why the onedimensional case is an exception.
Citation
Luisa Di Piazza. "A NOTE ON ADDITIVE FUNCTIONS OF INTERVALS." Real Anal. Exchange 20 (2) 815 - 818, 1994/1995. https://doi.org/10.2307/44152563
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