Geodesic
On Gelfond--Leontiev Operators of Generalized Differentiation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 29-54

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

The notion of the Gelfond–Leontiev operator of generalized differentiation in the space $H(G)$ of analytic functions in a simply connected domain $G$ is extended. Problems on the representation of such operators, the solvability of linear operator equations, the convergence of series of generalized exponentials, etc. are examined.
Keywords: operator of generalized differentiation, series of generalized exponentials, integral representation, diagonal operator.
Mots-clés : multiplier 
@article{INTO_2018_153_a2,
     author = {A. V. Bratishchev},
     title = {On {Gelfond--Leontiev} {Operators} of {Generalized} {Differentiation}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {29--54},
     publisher = {mathdoc},
     volume = {153},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_153_a2/}
}
TY  - JOUR
AU  - A. V. Bratishchev
TI  - On Gelfond--Leontiev Operators of Generalized Differentiation
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2018
SP  - 29
EP  - 54
VL  - 153
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2018_153_a2/
LA  - ru
ID  - INTO_2018_153_a2
ER  - 
%0 Journal Article
%A A. V. Bratishchev
%T On Gelfond--Leontiev Operators of Generalized Differentiation
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2018
%P 29-54
%V 153
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2018_153_a2/
%G ru
%F INTO_2018_153_a2
A. V. Bratishchev. On Gelfond--Leontiev Operators of Generalized Differentiation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 29-54. http://geodesic.mathdoc.fr/item/INTO_2018_153_a2/