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A note on eigenvalues of ordinary differential operators

  • Autores: A. Ho
  • Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 13, Nº 2, 1997, págs. 403-410
  • Idioma: inglés
  • DOI: 10.4171/rmi/226
  • Títulos paralelos:
    • Nota sobre autovalores de operadores diferenciales ordinarios.
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  • Resumen
    • In this follow-up on the work of Fefferman-Seco [FS] an improved condition for the discrete eigenvalues of the operator -d2 / dx2 + V(x) is established for V(x) satisfying certain hypotheses. The eigenvalue condition in [FS] establishes eigenvalues of this operator to within a small error. Through an obervation due to C. Fefferman, the order of accuracy can be improved if a certain condition is true. This paper improves on the result obtained in [FS] by showing that this condition does indeed hold.


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