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Matematicheskie Zametki, 1973, Volume 13, Issue 5, Pages 747–758 (Mi mzm7179)  
Change of variable in the one-dimensional Lebesgue integral

I. V. Orlov

Moscow State (V. I. Lenin) Pedagogical Institute
Full-text PDF (702 kB)
Abstract: We obtain necessary and sufficient conditions for the change of the variable in a one-dimensional Lebesgue integral in the case when the substituting function is quasibijective (see Definition 1).
Received: 21.03.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 5, Pages 446–452
DOI: https://doi.org/10.1007/BF01147476
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: I. V. Orlov, “Change of variable in the one-dimensional Lebesgue integral”, Mat. Zametki, 13:5 (1973), 747–758; Math. Notes, 13:5 (1973), 446–452
Citation in format AMSBIB
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\by I.~V.~Orlov
\paper Change of variable in the one-dimensional Lebesgue integral
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 5
\pages 747--758
\mathnet{http://mi.mathnet.ru/mzm7179}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=325874}
\zmath{https://zbmath.org/?q=an:0282.26010}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 5
\pages 446--452
\crossref{https://doi.org/10.1007/BF01147476}
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