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Stability of completeness for systems of exponentials on compact convex sets in $$\mathbb C$$. (English. Russian original) Zbl 1037.30004
Math. Notes 72, No. 4, 542-550 (2002); translation from Mat. Zametki 72, No. 4, 587-596 (2002).
Summary: A sufficient condition for the stability of completeness of systems of exponentials $$\{\exp\lambda_nz\}$$ with exponent shifts $$\lambda_n$$ in spaces of functions continuous on and holomorphic inside a compact convex set $$K\subset \mathbb{C}$$ with nonempty interior is obtained. This condition is a generalization of an important special case of the corresponding result for the closed interval due to Redheffer and Alexander.

##### MSC:
 30B60 Completeness problems, closure of a system of functions of one complex variable
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