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Matematicheskie Zametki, 1973, Volume 14, Issue 1, Pages 39–48 (Mi mzm7201)  
Change of variables in a multiple Lebesgue integral

I. V. Orlov

Moscow State (V. I. Lenin) Pedagogical Institute
Full-text PDF (649 kB)
Abstract: Necessary and sufficient conditions are found for a change of variables in a multiple Lebesgue integral for a class of quasibijective (one-to-one everywhere except on a set whose image has measure zero) mappings in the Euclidean space $R^n$.
Received: 26.05.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 1, Pages 575–581
DOI: https://doi.org/10.1007/BF01095772
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: I. V. Orlov, “Change of variables in a multiple Lebesgue integral”, Mat. Zametki, 14:1 (1973), 39–48; Math. Notes, 14:1 (1973), 575–581
Citation in format AMSBIB
\Bibitem{Orl73}
\by I.~V.~Orlov
\paper Change of variables in a~multiple Lebesgue integral
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 1
\pages 39--48
\mathnet{http://mi.mathnet.ru/mzm7201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=340512}
\zmath{https://zbmath.org/?q=an:0277.26010}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 1
\pages 575--581
\crossref{https://doi.org/10.1007/BF01095772}
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