Matematičeskie zametki, Tome 20 (1976) no. 6, pp. 825-834
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V. Yu. Bentkus. The existence and uniqueness of a solution of Poisson's equation for generalized measures in an infinite-dimensional space. Matematičeskie zametki, Tome 20 (1976) no. 6, pp. 825-834. http://geodesic.mathdoc.fr/item/MZM_1976_20_6_a3/
@article{MZM_1976_20_6_a3,
author = {V. Yu. Bentkus},
title = {The existence and uniqueness of a~solution of {Poisson's} equation for generalized measures in an infinite-dimensional space},
journal = {Matemati\v{c}eskie zametki},
pages = {825--834},
year = {1976},
volume = {20},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_6_a3/}
}
TY - JOUR
AU - V. Yu. Bentkus
TI - The existence and uniqueness of a solution of Poisson's equation for generalized measures in an infinite-dimensional space
JO - Matematičeskie zametki
PY - 1976
SP - 825
EP - 834
VL - 20
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_6_a3/
LA - ru
ID - MZM_1976_20_6_a3
ER -
%0 Journal Article
%A V. Yu. Bentkus
%T The existence and uniqueness of a solution of Poisson's equation for generalized measures in an infinite-dimensional space
%J Matematičeskie zametki
%D 1976
%P 825-834
%V 20
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_6_a3/
%G ru
%F MZM_1976_20_6_a3
It is proved that a solution of Poisson's equation in the space of generalized measures on an infinite-dimensional, separable Hilbert space exists and is unique. Any generalized function concentrated at a point in an infinite-dimensional Hilbert space is equal to zero.
