Geodesic
On unboundedly divisible distributions in Hilbert space
Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 585-594 
V. M. Kruglov. On unboundedly divisible distributions in Hilbert space. Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 585-594. http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a10/
@article{MZM_1974_16_4_a10,
     author = {V. M. Kruglov},
     title = {On unboundedly divisible distributions in {Hilbert} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {585--594},
     year = {1974},
     volume = {16},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a10/}
}
TY  - JOUR
AU  - V. M. Kruglov
TI  - On unboundedly divisible distributions in Hilbert space
JO  - Matematičeskie zametki
PY  - 1974
SP  - 585
EP  - 594
VL  - 16
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a10/
LA  - ru
ID  - MZM_1974_16_4_a10
ER  - 
%0 Journal Article
%A V. M. Kruglov
%T On unboundedly divisible distributions in Hilbert space
%J Matematičeskie zametki
%D 1974
%P 585-594
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a10/
%G ru
%F MZM_1974_16_4_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

We establish a connection between the existence of integrals with respect to unboundedly divisible probability distributions in Hilbert space and the existence of integrals of functions from a certain class of functions with respect to their spectral measures. The results obtained in the present note constitute a strengthening of the propositions advanced by the author in [1].