Geodesic
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. 
@article{MZM_2002_72_4_a10,
     author = {B. N. Khabibullin},
     title = {Stability of {Completeness} for {Systems} of {Exponentials} on {Compact} {Convex} {Sets} in $\mathbb C$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {587--596},
     publisher = {mathdoc},
     volume = {72},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a10/}
}
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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/