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On the stability of the uniform minimality of a set of exponentials. (English. Russian original) Zbl 1162.30006
J. Math. Sci., New York 155, No. 1, 170-182 (2008); translation from Sovrem. Mat., Fundam. Napravl. 25, 165-177 (2007).
Summary: Some conditions on the closeness of sequences $$(\lambda_n)$$ and $$(\mu_n)$$ are given which ensure that the corresponding systems of complex exponentials $$(\exp(i\lambda_n t))$$ and $$(\exp(i\mu _n t))$$ are simultaneously uniformly minimal in $$L^p(-\pi, \pi)$$, $$1\leq p < \infty$$, and $$C[-\pi, \pi]$$.
##### MSC:
 30B60 Completeness problems, closure of a system of functions of one complex variable
##### Keywords:
completeness of sets of exponentials
Full Text:
##### References:
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