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Radon–Nikodym theorem
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==References== * {{cite book |last=Lang |first=Serge |year=1969 |title=Analysis II: Real analysis |author-link= Serge Lang |publisher=Addison-Wesley }} Contains a proof for vector measures assuming values in a Banach space. * {{cite book |last1=Royden |first1=H. L. | last2= Fitzpatrick | first2 = P. M.| author1-link= Halsey Royden |year=2010 |title=Real Analysis |edition= 4th |publisher= Pearson }} Contains a lucid proof in case the measure ''ν'' is not σ-finite. * {{cite book |last=Shilov |first=G. E. |last2=Gurevich |first2=B. L. |year=1978 |title=Integral, Measure, and Derivative: A Unified Approach |others=Richard A. Silverman, trans. |publisher=[[Dover Publications]] |isbn=0-486-63519-8 }} * {{Cite book| publisher = Princeton University Press| isbn = 978-0-691-11386-9| last1 = Stein| first1 = Elias M.| last2 = Shakarchi| first2 = Rami| title = Real analysis: measure theory, integration, and Hilbert spaces| location = Princeton, N.J| series = Princeton lectures in analysis| date = 2005}} Contains a proof of the generalisation. * {{cite web |last=Teschl |first=Gerald |author-link=Gerald Teschl |title=Topics in Real and Functional Analysis |url=https://www.mat.univie.ac.at/~gerald/ftp/book-fa/index.html |others=(lecture notes) }} {{PlanetMath attribution|id=3998|title=Radon–Nikodym theorem}} {{Measure theory}} {{DEFAULTSORT:Radon-Nikodym theorem}} [[Category:Theorems in measure theory]] [[Category:Articles containing proofs]] [[Category:Generalizations of the derivative]] [[Category:Integral representations]]
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