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Matematicheskie Zametki, 2012, Volume 91, Issue 5, Pages 720–729
DOI: https://doi.org/10.4213/mzm9360 (Mi mzm9360) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Recursive Decompositions of Measures

T. P. Lukashenko

M. V. Lomonosov Moscow State University
Full-text PDF (404 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9360
Abstract: 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, Lebesgue measure, Radon–Nikodym theorem, absolutely continuous measure.
Received: 13.10.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 5, Pages 671–679
DOI: https://doi.org/10.1134/S0001434612050082
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: T. P. Lukashenko, “On Recursive Decompositions of Measures”, Mat. Zametki, 91:5 (2012), 720–729; Math. Notes, 91:5 (2012), 671–679
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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