Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 389-391
Citer cet article
V. V. Yurinskiǐ. On application of the van der Corput lemma to estimation of the characteristic functions of certain singular distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 389-391. http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a19/
@article{TVP_1971_16_2_a19,
author = {V. V. Yurinskiǐ},
title = {On application of the {van~der~Corput} lemma to estimation of the characteristic functions of certain singular distributions},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {389--391},
year = {1971},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a19/}
}
TY - JOUR
AU - V. V. Yurinskiǐ
TI - On application of the van der Corput lemma to estimation of the characteristic functions of certain singular distributions
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1971
SP - 389
EP - 391
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a19/
LA - ru
ID - TVP_1971_16_2_a19
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%0 Journal Article
%A V. V. Yurinskiǐ
%T On application of the van der Corput lemma to estimation of the characteristic functions of certain singular distributions
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1971
%P 389-391
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a19/
%G ru
%F TVP_1971_16_2_a19
A multidimensional analogue of the van der Corput lemma is stated. It can be used to derive bounds (1) for the characteristic functions of certain distributions concentrated on smooth surfaces in $R^m$ with surface densities. Other possible applications are discussed.
