Geodesic
On Recursive Decompositions of Measures
Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 720-729

Voir la notice de l'article provenant de la source Math-Net.Ru

Recursive decompositions of a complex measure relative to a nonnegative measure are considered and properties of the decompositions and conditions for convergence are established.
Keywords: recursive decomposition of a complex measure, convergence of a recursive series, Radon–Nikodym theorem, absolutely continuous measure.
Mots-clés : Lebesgue measure 
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     author = {T. P. Lukashenko},
     title = {On {Recursive} {Decompositions} of {Measures}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {720--729},
     publisher = {mathdoc},
     volume = {91},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a7/}
}
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T. P. Lukashenko. On Recursive Decompositions of Measures. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 720-729. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a7/