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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 2, Pages 14–28
(Mi vmj500)
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This article is cited in 3 scientific papers (total in 3 papers)
Local description of entire functions. Submodules of rank 1
T. A. Volkovaya, A. B. Shishkin Kuban State University, Branch in Slavyansk-on-Kuban, Slavyansk-on-Kuban, Russia
Abstract:
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.
Key words:
submodules of entire functions, local submodules, local shell, local description, ampleness, intensity, stability, saturation, criterion of ampleness.
Received: 13.09.2013
Citation:
T. A. Volkovaya, A. B. Shishkin, “Local description of entire functions. Submodules of rank 1”, Vladikavkaz. Mat. Zh., 16:2 (2014), 14–28
Linking options:
https://www.mathnet.ru/eng/vmj500 https://www.mathnet.ru/eng/vmj/v16/i2/p14
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Abstract page: | 253 | Full-text PDF : | 76 | References: | 42 |
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