Geodesic
On indefinite BV-integrals
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 4, pp. 843-853.

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We present an example of a locally BV-integrable function in the real line whose indefinite integral is not the sum of a locally absolutely continuous function and a function that is Lipschitz at all but countably many points.
Classification : 26A39, 26A42
Keywords: BV integral; absolute continuity; pointwise Lipschitz functions 
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Bongiorno, D.; Darji, U.; Pfeffer, W. F. On indefinite BV-integrals. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 4, pp. 843-853. http://geodesic.mathdoc.fr/item/CMUC_2000__41_4_a17/