On the theorem on asymptotic equidistribution of the convolution powers of symmetric measures on a~unimodular group
Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 120-126
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The theorem on the asymptotic equidistribution of the convolution powers of a symmetric probability measure given on a unimodular group [1] deals with a measure whose convolution powers, starting from one of them, load an arbitrary prescribed nonempty subset of the group. In the present note, we indicate the modifications that arise under the replacement of the above condition by the requirement that the smallest closed subgroup (of the group considered) generated by the support of this measure coincide with the group itself.
@article{MZM_1996_60_1_a10,
author = {M. G. Shur},
title = {On the theorem on asymptotic equidistribution of the convolution powers of symmetric measures on a~unimodular group},
journal = {Matemati\v{c}eskie zametki},
pages = {120--126},
publisher = {mathdoc},
volume = {60},
number = {1},
year = {1996},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a10/}
}
TY - JOUR AU - M. G. Shur TI - On the theorem on asymptotic equidistribution of the convolution powers of symmetric measures on a~unimodular group JO - Matematičeskie zametki PY - 1996 SP - 120 EP - 126 VL - 60 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a10/ LA - ru ID - MZM_1996_60_1_a10 ER -
M. G. Shur. On the theorem on asymptotic equidistribution of the convolution powers of symmetric measures on a~unimodular group. Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 120-126. http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a10/