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On the completeness of a system of values of a holomorphic vector function in a Fréchet space. (English. Russian original) Zbl 1146.30300

Math. Notes 73, No. 6, 783-795 (2003); translation from Mat. Zametki 73, No. 6, 827-840 (2003).
Summary: We establish necessary and sufficient conditions for the system of values of a holomorphic vector function to be complete in a Fréchet space. The results obtained are illustrated by several examples.

MSC:

30B60 Completeness problems, closure of a system of functions of one complex variable
46E10 Topological linear spaces of continuous, differentiable or analytic functions
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