Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 886-890
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E. I. Ostrovskii. Exact Asymptotics of Laplace Integrals for Nonsmooth Functions. Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 886-890. http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a9/
@article{MZM_2003_73_6_a9,
author = {E. I. Ostrovskii},
title = {Exact {Asymptotics} of {Laplace} {Integrals} for {Nonsmooth} {Functions}},
journal = {Matemati\v{c}eskie zametki},
pages = {886--890},
year = {2003},
volume = {73},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a9/}
}
TY - JOUR
AU - E. I. Ostrovskii
TI - Exact Asymptotics of Laplace Integrals for Nonsmooth Functions
JO - Matematičeskie zametki
PY - 2003
SP - 886
EP - 890
VL - 73
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a9/
LA - ru
ID - MZM_2003_73_6_a9
ER -
%0 Journal Article
%A E. I. Ostrovskii
%T Exact Asymptotics of Laplace Integrals for Nonsmooth Functions
%J Matematičeskie zametki
%D 2003
%P 886-890
%V 73
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a9/
%G ru
%F MZM_2003_73_6_a9
In this paper, we calculate the exact asymptotics with remainder of integrals of Laplace type in an arbitrary space, without imposing any constraints on the smoothness of the functions. As a special case, we derive the classical Laplace formula. Some examples are given.