Geodesic
Variations of additive functions
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 3, pp. 525-555

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We study the relationship between derivates and variational measures of additive functions defined on families of figures or bounded sets of finite perimeter. Our results, valid in all dimensions, include a generalization of Ward’s theorem, a necessary and sufficient condition for derivability, and full descriptive definitions of certain conditionally convergent integrals.
Classification : 26B05, 26B30, 28A75, 49Q15, 58C35 
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     author = {Buczolich, Zolt\'an and Pfeffer, Washek F.},
     title = {Variations of additive functions},
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     pages = {525--555},
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     zbl = {0903.26004},
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Buczolich, Zoltán; Pfeffer, Washek F. Variations of additive functions. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 3, pp. 525-555. http://geodesic.mathdoc.fr/item/CMJ_1997__47_3_a12/