Skip to main content
SpringerLink
Log in

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

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

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

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. de Branges, Hilbert Spaces of Entire Functions, Prentice-Hall, Englewood Cliffs (1968).

    MATH  Google Scholar 

  2. V. I. Smirnov, A Course of Higher Mathematics, Vol. 2, Pergamon Press (1964).

Download references

Author information

Authors and Affiliations

  1. Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia

    M. B. Dubashinskiy

Authors
  1. M. B. Dubashinskiy
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. B. Dubashinskiy.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 467, 2018, pp. 55–59.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dubashinskiy, M.B. On the Smallness of a Paley–Wiener Function Near Its Integer Zeros. J Math Sci 243, 859–861 (2019). https://doi.org/10.1007/s10958-019-04583-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-019-04583-5

Search

Navigation