Local description of entire functions. Submodules of rank~1
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 14-28
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Submodule in the module of entire functions is called ample, if this submodule coincides with its local hull. Ampleness splits in three separate properties: intensity, stability and saturation. In the article submodules of entire functions are investigated for the presence of these properties. Particular attention is paid to submodules of rank 1.
@article{VMJ_2014_16_2_a1,
author = {T. A. Volkovaya and A. B. Shishkin},
title = {Local description of entire functions. {Submodules} of rank~1},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {14--28},
publisher = {mathdoc},
volume = {16},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a1/}
}
TY - JOUR AU - T. A. Volkovaya AU - A. B. Shishkin TI - Local description of entire functions. Submodules of rank~1 JO - Vladikavkazskij matematičeskij žurnal PY - 2014 SP - 14 EP - 28 VL - 16 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a1/ LA - ru ID - VMJ_2014_16_2_a1 ER -
T. A. Volkovaya; A. B. Shishkin. Local description of entire functions. Submodules of rank~1. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 14-28. http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a1/