Geodesic
Orthogonally additive functionals on $BV$
Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 411-419.

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In this paper we give a representation theorem for the orthogonally additive functionals on the space $BV$ in terms of a non-linear integral of the Henstock-Kurzweil-Stieltjes type.
DOI : 10.21136/MB.2004.134042
Classification : 26A39, 26A42, 26A45, 46A70, 46E99
Keywords: functional; orthogonally additive functional; two-norm space; function of bounded variation; Henstock integral; Stieltjes integral 
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Khaing, Khaing Aye; Lee, Peng Yee. Orthogonally additive functionals on $BV$. Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 411-419. doi : 10.21136/MB.2004.134042. http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134042/

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