Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 4-12
Citer cet article
O. G. Smolyanov. The Gross–Sazonov theorem for sign-variable cylindrical measures. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 4-12. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a1/
@article{VMUMM_1983_4_a1,
author = {O. G. Smolyanov},
title = {The {Gross{\textendash}Sazonov} theorem for sign-variable cylindrical measures},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {4--12},
year = {1983},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a1/}
}
TY - JOUR
AU - O. G. Smolyanov
TI - The Gross–Sazonov theorem for sign-variable cylindrical measures
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 4
EP - 12
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a1/
LA - ru
ID - VMUMM_1983_4_a1
ER -
%0 Journal Article
%A O. G. Smolyanov
%T The Gross–Sazonov theorem for sign-variable cylindrical measures
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 4-12
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a1/
%G ru
%F VMUMM_1983_4_a1
A topological condition is found whose fulfilment is sufficient for $\sigma$-additivity of bounded signed cylindrical measures. The topology $\tau_{\mathrm{C}\Gamma}$ used in this condition is in general strictly stronger than Sazonov's topology; however, $\tau_{\mathrm{C}\Gamma}$-continuity of the Fourier transformation of a cylindrical measure entails its $\tau_{\mathrm{C}}$-continujty.
