Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 1, 2001, Pages 113-152

  Kappeler, T ^a   Mityagin, B ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Estimates on gap lengths; Periodic and Dirichlet eigenvalues; Schr dinger operators

Indexed keywords

EID: 0035527618     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099365753     Document Type: Article

References (20)

1. The asymptotics of the gap in the Mathieu equation
2. Integrable systems I
3. Spectral analysis of a class of second-order nonselfadjoint differential operators
4. Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill
5. Hardy functions and the inverse spectral method
6. On the effect of the boundary condition on the eigenvalues of ordinary differential equations
7. Estimates on the stability intervals for Hill's equation
8. Gap estimates of the spectrum of Hill's equation and action variables for KdV
9. On the eigenvalues and eigenfunctions of certain classes of nonselfadjoint equations
10. On the completeness of the eigenfunctions in certain classes of nonselfadjoint operators
11. Introduction to spectral theory
12. Introduction to the spectral theory of polynomial operator pencils
13. Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
14. Selected problems of weighted approximation and spectral theory
15. Spectral properties of non-selfadjoint Hill's operators with smooth potentials
16. The inverse problem for periodic potentials