Geodesic
Generalized poisson distribution on groups
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 161-185

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

The article deals with the arithmetic of distributions on groups. Let $X$ be a locally compact separable abelian metric group, $e(F)=e^{-F(X)}(\varepsilon_0+F+\dfrac{F^{*2^-}}{z!}+\dots)$ the generalized Poisson distribution associated with a completely finite measure $F$, $I_0$ the class of distributions without indecomposable or idempotent divisors. Some conditions under which the generalized Poisson distributions belong and do not belong to the class $I_0$ are derived. Some other topics related to the class $I_0$ are considered. 
@article{ZNSL_1977_72_a15,
     author = {G. M. Feldman},
     title = {Generalized poisson distribution on groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {161--185},
     publisher = {mathdoc},
     volume = {72},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a15/}
}
TY  - JOUR
AU  - G. M. Feldman
TI  - Generalized poisson distribution on groups
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1977
SP  - 161
EP  - 185
VL  - 72
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a15/
LA  - ru
ID  - ZNSL_1977_72_a15
ER  - 
%0 Journal Article
%A G. M. Feldman
%T Generalized poisson distribution on groups
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 161-185
%V 72
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a15/
%G ru
%F ZNSL_1977_72_a15
G. M. Feldman. Generalized poisson distribution on groups. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 161-185. http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a15/