Skip to main content
SpringerLink
Log in

Gaps and bands of one dimensional periodic Schrödinger operators

  • Published:
Commentarii Mathematici Helvetici

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. Borg, G.,Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe, Acta Math.78 (1946) 1–96.

    Article  MathSciNet  Google Scholar 

  2. Marčenko, V. A. andOstrovskii, I. V.,A Characterization of the spectrum of Hill's operator, Math. USSR-Sbornik,97 (1975) 493–554.

    Article  Google Scholar 

  3. Moser, J.,An example of a Schrödinger operator with almost periodic potential and nowhere dense spectrum, Comm. Math. Helv.56 (1981) 198–224.

    Google Scholar 

  4. Poschel, J. andTrubowitz, E.,Lectures on Inverse Spectral Theory, (to appear).

  5. Titchmarsh, E. C.,The Theory of Function, Oxford 1939.

  6. Tsuji, M.,Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.

    MATH  Google Scholar 

  7. McKean, H. P. andTrubowitz, E.,Hill's operator and Hyperelliptic function theory in the presence of infinitely many branch points, Comm. Pure Appl. Math.29 (1976) 143–226.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept of Maths., University of California, 90024, Los Angeles, Calif, USA

    John Garnett & Eugene Trubowitz

  2. Mathematik, ETH-Zentrum, CH 8092, Zurich, Switzerland

    John Garnett & Eugene Trubowitz

Authors
  1. John Garnett
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Eugene Trubowitz
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported in part by NSF Grant #MCS 80-02955

Rights and permissions

Reprints and permissions

About this article

Cite this article

Garnett, J., Trubowitz, E. Gaps and bands of one dimensional periodic Schrödinger operators. Commentarii Mathematici Helvetici 59, 258–312 (1984). https://doi.org/10.1007/BF02566350

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566350

Keywords

Search

Navigation