Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 173-179
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V. Ya. Lin. A class of completely continuous operators in a Hilbert space of entire functions of exponential type. Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 173-179. http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a4/
@article{MZM_1969_6_2_a4,
author = {V. Ya. Lin},
title = {A~class of completely continuous operators in {a~Hilbert} space of entire functions of exponential type},
journal = {Matemati\v{c}eskie zametki},
pages = {173--179},
year = {1969},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a4/}
}
TY - JOUR
AU - V. Ya. Lin
TI - A class of completely continuous operators in a Hilbert space of entire functions of exponential type
JO - Matematičeskie zametki
PY - 1969
SP - 173
EP - 179
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a4/
LA - ru
ID - MZM_1969_6_2_a4
ER -
%0 Journal Article
%A V. Ya. Lin
%T A class of completely continuous operators in a Hilbert space of entire functions of exponential type
%J Matematičeskie zametki
%D 1969
%P 173-179
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a4/
%G ru
%F MZM_1969_6_2_a4
Any positive Borel measure $\mu$ in $R^n$ which satisfies the condition $\sup\limits_y\mu\{x\in R^n\mid|x-y|\le1\}<\infty$ generates a Hermitian bilinear form in the Hilbert space of entire functions $f\colon C^n\to C^1$ of exponential type not exceedingtau which are square-summable on $R^n$. In this paper a criterion is given for the complete continuity of this form.
