Skip to main content
SpringerLink
Log in

On the convergence of eigenfunction expansion in the norm of Soboleff spaces

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

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

References

  1. G. Alexits,Convergence problems of orthogonal series (Budapest, 1960).

  2. V. A. Il'in, On convergence of expansions in eigenfunctions of the Laplace operator,Uspehi Mat. Nauk. 13 (1958), 87–180.

    Google Scholar 

  3. F. Riesz et B. Sz.-Nagy,Leçons d'Analyse Fonctionelle, Akadémiai Kiadó (Budapest, 1952).

    Google Scholar 

  4. Š. A. Alimov, I. Joó, On the convergence of eigenfunction expansions inH s-norm,Acta Sci. Math. (Szeged),48 (1985), 5–12.

    Google Scholar 

  5. Š. A. Alimov, M. Barnowska, On eigenfunction expansions connected with the Schrödinger operator,Slovak Math. Journal (to appear).

  6. H. Triebel,Interpolation theory — function spaces — differential operators VEB Deutscher Verl. d. Wissenschaften (Berlin, 1978).

  7. E. C. Titchmarsh,Eigenfunction expansions associated with second-order differential equations, Oxford, Clarendon Press (1958).

    Google Scholar 

  8. A. R. Halmuhamedov,The conditions of convergence and localization of spectral expansions, Dissertation (Moscow, 1983).

  9. V. A. Il'in, Localization and convergence problems for Fourier series in fundamental function systems of Laplace's operator,Uspehi Mat. Nauk. 23 (1968), 61–120.

    Google Scholar 

  10. Š. A. Alimov, Fractional powers of elliptic operators and isomorphism of classes of differentiable functions,Differencial'nye Uravnenija,8 (1972), 1609–1626.

    Google Scholar 

  11. M. Reed, B. Simon,Methods of modern mathematical physics II,Fourier analysis, self-adjointness, Academic Press (New York, 1975).

    Google Scholar 

  12. M. Reed, B. Simon,Methods of modern mathematical physics IVAnalysis of operators, Academic Press (New York, 1973).

    Google Scholar 

  13. A. Zygmund,Trigonometric series, I–II, Cambridge University Press (1959).

  14. S. M. Nikol'skiî,Approximation of functions of several variables and imbedding theorems, Nauka (Moscow, 1969), English transl., Springer-Verlag (Berlin and New York, 1974).

    Google Scholar 

  15. L. L. Stachó, Zeros of Schrödinger eigenfunctions at potential singularities,Acta Math. Hung.,44 (1984), 407–408.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute Department of Analysis, Loránd Eötvös University, Múzeum KRT. 6-8, 1088, Budapest

    I. Joó

Authors
  1. I. Joó
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Joó, I. On the convergence of eigenfunction expansion in the norm of Soboleff spaces. Acta Math Hung 47, 191–199 (1986). https://doi.org/10.1007/BF01949143

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01949143

Keywords

Search

Navigation