Stability of Completeness for Systems of Exponentials on Compact Convex Sets in $\mathbb C$
Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 587-596.

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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 $\subset \mathbb C$ 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.
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B. N. Khabibullin. Stability of Completeness for Systems of Exponentials on Compact Convex Sets in $\mathbb C$. Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 587-596. http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a10/

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