О СПЕКТРАЛЬНОМ СИНТЕЗЕ В ОДНОМ ТОПОЛОГИЧЕСКОМ ВЕКТОРНОМ ПРОСТРАНСТВЕ ЦЕЛЫХ ФУНКЦИЙ
Let F be the set of all entire functions f(z), z=x+iy, such that sup |y|≤l|f(x+iy)|,(1+x 2) -k<∞ for all l>0. F is a locally convex space with respect to certain topology. It is proved that every closed invariant under derivation linear subspace H⊆F is the closed span of the functions z ke iλz...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2014-08-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1906 |