Weighted Fr\'echet spaces of entire functions from the class of power series spaces of finite type
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 3-6
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We study weighted Fréchet spaces of entire functions given by weighted sequences of a general kind. We obtain some sufficient conditions under which they have Vogt–Wagner topological invariants and thus belong to the class of power series spaces of finite type.
@article{VMJ_2013_15_3_a0,
author = {A. V. Abanin and P. S. Sergunin and Pham Trong Tien},
title = {Weighted {Fr\'echet} spaces of entire functions from the class of power series spaces of finite type},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {3--6},
publisher = {mathdoc},
volume = {15},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a0/}
}
TY - JOUR AU - A. V. Abanin AU - P. S. Sergunin AU - Pham Trong Tien TI - Weighted Fr\'echet spaces of entire functions from the class of power series spaces of finite type JO - Vladikavkazskij matematičeskij žurnal PY - 2013 SP - 3 EP - 6 VL - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a0/ LA - ru ID - VMJ_2013_15_3_a0 ER -
%0 Journal Article %A A. V. Abanin %A P. S. Sergunin %A Pham Trong Tien %T Weighted Fr\'echet spaces of entire functions from the class of power series spaces of finite type %J Vladikavkazskij matematičeskij žurnal %D 2013 %P 3-6 %V 15 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a0/ %G ru %F VMJ_2013_15_3_a0
A. V. Abanin; P. S. Sergunin; Pham Trong Tien. Weighted Fr\'echet spaces of entire functions from the class of power series spaces of finite type. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 3-6. http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a0/