Geodesic
A~type of lower estimate for entire functions of finite order, and some applications
Izvestiya. Mathematics , Tome 24 (1985) no. 3, pp. 415-438

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

This paper describes some classes of entire functions of finite order that admit natural estimates outside a system of pairwise disjoint disks with centers at the zeros. The Hermite interpolation problem is solved under weaker conditions than were previously used, for the class of functions of finite type and for classes of functions with indicator not exceeding a given one. In a number of spaces of holomorphic functions we describe, completely or partially, the invariant subspaces in which the root vectors of the differentiation operator form a basis. Bibliography: 41 titles. 
@article{IM2_1985_24_3_a0,
     author = {A. V. Bratishchev},
     title = {A~type of lower estimate for entire functions of finite order, and some applications},
     journal = {Izvestiya. Mathematics },
     pages = {415--438},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a0/}
}
TY  - JOUR
AU  - A. V. Bratishchev
TI  - A~type of lower estimate for entire functions of finite order, and some applications
JO  - Izvestiya. Mathematics 
PY  - 1985
SP  - 415
EP  - 438
VL  - 24
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a0/
LA  - en
ID  - IM2_1985_24_3_a0
ER  - 
%0 Journal Article
%A A. V. Bratishchev
%T A~type of lower estimate for entire functions of finite order, and some applications
%J Izvestiya. Mathematics 
%D 1985
%P 415-438
%V 24
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a0/
%G en
%F IM2_1985_24_3_a0
A. V. Bratishchev. A~type of lower estimate for entire functions of finite order, and some applications. Izvestiya. Mathematics , Tome 24 (1985) no. 3, pp. 415-438. http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a0/