Geodesic
Change of variable in the one-dimensional Lebesgue integral
Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 747-758

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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). 
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     author = {I. V. Orlov},
     title = {Change of variable in the one-dimensional {Lebesgue} integral},
     journal = {Matemati\v{c}eskie zametki},
     pages = {747--758},
     publisher = {mathdoc},
     volume = {13},
     number = {5},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a13/}
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I. V. Orlov. Change of variable in the one-dimensional Lebesgue integral. Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 747-758. http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a13/