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DOI: 10.23671/VNC.2016.2.7385

Local description of entire functions. Submodules of rank 1

Volkovaya T. A. , Shishkin, A. B.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 2.
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
Keywords: submodules of entire functions, local submodules, local shell, local description, ampleness, intensity, stability, saturation, criterion of ampleness
Language: Russian Download the full text  
For citation: Volkovaya T. A., Shishkin A. B. Local description of entire functions. Submodules of rank 1. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 2, pp.14-28. DOI 10.23671/VNC.2016.2.7385
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