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Geometric minimality conditions for systems of exponentials inL p [−π, π]

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Abstract

A proof is given of the stability theorem for minimal systems of exponentialse(Λ) = {e iλx}λ∈Λ inL p [−π, π], where Λ ⊂ ℂ is a discrete subset. Geometric minimality conditions for such systems are obtained.

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Translated fromMatematicheskie Zametki, Vol. 58, No. 5, pp. 773–777, November, 1995.

I wish to express gratitude to A. A. Shkalikov, who posed the problem and paid constant attention to this work.

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Yurkin, M.Y. Geometric minimality conditions for systems of exponentials inL p [−π, π] . Math Notes 58, 1223–1226 (1995). https://doi.org/10.1007/BF02305006

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  • DOI: https://doi.org/10.1007/BF02305006

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