Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 39-48
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I. V. Orlov. Change of variables in a multiple Lebesgue integral. Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 39-48. http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a4/
@article{MZM_1973_14_1_a4,
author = {I. V. Orlov},
title = {Change of variables in a~multiple {Lebesgue} integral},
journal = {Matemati\v{c}eskie zametki},
pages = {39--48},
year = {1973},
volume = {14},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a4/}
}
TY - JOUR
AU - I. V. Orlov
TI - Change of variables in a multiple Lebesgue integral
JO - Matematičeskie zametki
PY - 1973
SP - 39
EP - 48
VL - 14
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a4/
LA - ru
ID - MZM_1973_14_1_a4
ER -
%0 Journal Article
%A I. V. Orlov
%T Change of variables in a multiple Lebesgue integral
%J Matematičeskie zametki
%D 1973
%P 39-48
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a4/
%G ru
%F MZM_1973_14_1_a4
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 $R^n$.
