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Stability of Completeness for Systems of Exponentials on Compact Convex Sets in ℂ

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Abstract

A sufficient condition for the stability of completeness of systems of exponentials \(\{ {\text{exp }}\lambda _n z\} \) with exponent shifts λ n in spaces of functions continuous onb and holomorphic inside a compact convex set ⊂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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  1. Bashkortostan State University, Ufa

    B. N. Khabibullin

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  1. B. N. Khabibullin
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Khabibullin, B.N. Stability of Completeness for Systems of Exponentials on Compact Convex Sets in ℂ. Mathematical Notes 72, 542–550 (2002). https://doi.org/10.1023/A:1020592630556

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