Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 277-283
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Yu. F. Korobeinik. The problem of representing an arbitrary linear operator in the form of a differential operator of infinite order. Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 277-283. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a11/
@article{MZM_1974_16_2_a11,
author = {Yu. F. Korobeinik},
title = {The problem of representing an arbitrary linear operator in the form of a~differential operator of infinite order},
journal = {Matemati\v{c}eskie zametki},
pages = {277--283},
year = {1974},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a11/}
}
TY - JOUR
AU - Yu. F. Korobeinik
TI - The problem of representing an arbitrary linear operator in the form of a differential operator of infinite order
JO - Matematičeskie zametki
PY - 1974
SP - 277
EP - 283
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a11/
LA - ru
ID - MZM_1974_16_2_a11
ER -
%0 Journal Article
%A Yu. F. Korobeinik
%T The problem of representing an arbitrary linear operator in the form of a differential operator of infinite order
%J Matematičeskie zametki
%D 1974
%P 277-283
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a11/
%G ru
%F MZM_1974_16_2_a11
We consider linear operators, acting continuously from the space $A_{R_1}$ of functions analytic in the disk $|z| into the space $A_{R_2}$. We show that every such operator may be represented in the form of a linear differential operator of infinite order with coefficients analytic in the disk $|z|.
