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Journal of Mathematical Sciences

, Volume 243, Issue 6, pp 859–861 | Cite as

On the Smallness of a Paley–Wiener Function Near Its Integer Zeros

  • M. B. DubashinskiyEmail author
Article
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We prove that a function from the Paley–Wiener class PWπ vanishing on some subset in ℤ cannot be concentrated near this set.

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References

  1. 1.
    L. de Branges, Hilbert Spaces of Entire Functions, Prentice-Hall, Englewood Cliffs (1968).zbMATHGoogle Scholar
  2. 2.
    V. I. Smirnov, A Course of Higher Mathematics, Vol. 2, Pergamon Press (1964).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Chebyshev LaboratorySt. Petersburg State UniversitySt. PetersburgRussia

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