Abstract
Some conditions on sequences (λ n ) and (μ n ) to be nearby are given in order that the corresponding systems of complex exponentials (exp(iλ n t)) and (exp(iμ n t)) be simultaneously uniformly minimal in L p(−π, π), 1 ≤ p < ∞, and in C[−π, π].
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Translated from Sovremennaya Matematika. Fundamental'nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 25, Theory of Functions, 2007.
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Sedletskii, A.M. On the stability of the uniform minimality of a set of exponentials. J Math Sci 155, 170–182 (2008). https://doi.org/10.1007/s10958-008-9214-0
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DOI: https://doi.org/10.1007/s10958-008-9214-0