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
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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.
@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 ER -
%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
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/