Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 371-375
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L. P. Postnikova; A. A. Yudin. On the concentration function. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 371-375. http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a11/
@article{TVP_1977_22_2_a11,
author = {L. P. Postnikova and A. A. Yudin},
title = {On the concentration function},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {371--375},
year = {1977},
volume = {22},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a11/}
}
TY - JOUR
AU - L. P. Postnikova
AU - A. A. Yudin
TI - On the concentration function
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 371
EP - 375
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a11/
LA - ru
ID - TVP_1977_22_2_a11
ER -
%0 Journal Article
%A L. P. Postnikova
%A A. A. Yudin
%T On the concentration function
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 371-375
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a11/
%G ru
%F TVP_1977_22_2_a11
The characteristic function has the property that, if it is large at two points, it is large at the sum of these points too. Using this fact, a number of properties of characteristic functions is proved. In particular, a new proof of a theorem due to Rogozin is given which estimates the concentration function in the case of lattice summands.