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Perturbation of a Sturm-Liouville operator by a finite function

Author: Richard C. Gilbert
Journal: Proc. Amer. Math. Soc. 16 (1965), 743-746
MSC: Primary 34.30
MathSciNet review: 0178186
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  • [1] M. G. Gasymov, On the sum of the differences of the eigenvalues of two self-adjoint operators, Dokl. Akad. Nauk SSSR 150 (1963), 1202–1205 (Russian). MR 0152698
  • [2] Richard C. Gilbert and Vernon A. Kramer, Trace formulas for a perturbed operator, Duke Math. J. 30 (1963), 275–296. MR 0151870
  • [3] B. M. Levitan, On the asymptotic behavior of the spectral function of a self-adjoint differential equation of the second order and on expansion in eigenfunctions, Izvestiya Akad. Nauk SSSR. Ser. Mat. 17 (1953), 331–364 (Russian). MR 0058069

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