Skip to main content
Log in

On the extreme eigenvalues of translation kernels and Toeplitz matrices

  • Published:
Journal d’Analyse Mathématique Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. E. Fischer. Über quadratische Formen mit reellen Koeffizienten,Monatshefte f. Math. u. Phys. 16 (1905), 234–249.

    Article  Google Scholar 

  2. Ulf Grenander and Gabor Szegö. Toeplitz forms and their applications, Berkeley 1958.

  3. M. Kac, W. L. Murdock and G. Szegö. On the eigenvalues of cettain Hermitian forms,Journal of Rat. Mech. and Anal. 2 (1953), 767–800.

    Google Scholar 

  4. S. V. Patter. Extreme eigenvalues of Toeplitz forms and applications to elliptic difference equations,Trans. Am. Math. Soc. 99 (1961), 153–192.

    Article  Google Scholar 

  5. S. V. Parter. On the extreme eigenvalues of Toeplitz matrices,Trans. Am Math. Soc. 100 (1961), 263–276.

    Article  MATH  MathSciNet  Google Scholar 

  6. Frédéric Riesz et Bela Sz.-Nagy. Leçons d'analyse fonctionelle, 2ieme édition, Budapest, 1953.

  7. Harold Widom. On the eigenvalues of certain Hermitian operators,Trans. Am. Math. Soc. 88 (1958), 491–522.

    Article  MATH  MathSciNet  Google Scholar 

  8. Harold Widom. Extreme eigenvalues of translation ketnels,Trans. Am. Math. Soc. 100 (1961), 252–262.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by the National Science Foundation under project NSF-G 18837.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kesten, H. On the extreme eigenvalues of translation kernels and Toeplitz matrices. J. Anal. Math. 10, 117–138 (1962). https://doi.org/10.1007/BF02790305

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02790305

Keywords

Navigation