Skip to main content
SpringerLink
Log in

Integral representation of even positive-definite functions of one variable

  • Published:
Ukrainian Mathematical Journal Aims and scope

We obtain an integral representation of even positive-definite functions of one variable for which the kernel [k 1(x + y) + k 2 (x − y)] is positive definite.

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.

Similar content being viewed by others

References

  1. M. G. Krein, “On one general method for factorization of positive-definite kernels,” Dokl. Akad. Nauk SSSR, 53, No. 1, 3–6 (1946).

    MathSciNet  Google Scholar 

  2. Yu. M. Berezans’kyi, “Generalization of the Bochner theorem to expansions in eigenfunctions of differential operators,” Dokl. Akad. Nauk SSSR, 108, No. 3, 893–896 (1956).

    Google Scholar 

  3. Yu. M. Berezans’kyi, Expansion in Eigenfunctions of Self-Adjoint Operators [in Russian], Naukova Dumka, Kiev (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Forestry and Wood Technology University of Ukraine, Lviv, Ukraine

    O. V. Lopotko

Authors
  1. O. V. Lopotko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 2, pp. 281 – 284, February, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lopotko, O.V. Integral representation of even positive-definite functions of one variable. Ukr Math J 62, 320–324 (2010). https://doi.org/10.1007/s11253-010-0355-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-010-0355-1

Keywords

Search

Navigation