Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 747-758
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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/
@article{MZM_1973_13_5_a13,
author = {I. V. Orlov},
title = {Change of variable in the one-dimensional {Lebesgue} integral},
journal = {Matemati\v{c}eskie zametki},
pages = {747--758},
year = {1973},
volume = {13},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a13/}
}
TY - JOUR
AU - I. V. Orlov
TI - Change of variable in the one-dimensional Lebesgue integral
JO - Matematičeskie zametki
PY - 1973
SP - 747
EP - 758
VL - 13
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a13/
LA - ru
ID - MZM_1973_13_5_a13
ER -
%0 Journal Article
%A I. V. Orlov
%T Change of variable in the one-dimensional Lebesgue integral
%J Matematičeskie zametki
%D 1973
%P 747-758
%V 13
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a13/
%G ru
%F MZM_1973_13_5_a13
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).
