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Note on the absolutely continuous spectrum of Sturm-Liouville operators

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References

  1. Carmona, R.: One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types. J. Funct. Anal.51, 229–258 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  2. Coddington, E.A., Levinson, N.: Theory of Ordinary Differential Equations. New York: Mc Graw-Hill 1955

    MATH  Google Scholar 

  3. del Rio Castillo, R.R.: On conditions which guarantee stability of the absolutely continuous spectrum of ordinary differential operators. Q. J. Math. Ox. II. Ser.39, 269–280 (1988)

    Article  Google Scholar 

  4. Duren, P.L.: Theory ofH p spaces. New York London: Academic Press (1970)

    MATH  Google Scholar 

  5. Goluzin, G.M.: Geometric theory of functions of a complex variable. Transl. Math. Monogr., vol. 26 (1969)

  6. Heinz, E.: Über das absolut stetige Spektrum singulärer Differentialgleichungssysteme. Nachr. Akad. Wiss. Göttingen, II.-Phys. Kl. (1982)

  7. Hinton, D.B., Shaw, J.K.: Absolutely continuous spectra of second order differential operators with short and long range potentials. Siam. J. Math. Anal.17, 182–196 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  8. Warschawski, S.E.: On differentiability at the boundary in conformal mapping. Proc. Am. Math. Soc.12, 614–620 (1961)

    Article  MATH  MathSciNet  Google Scholar 

  9. Weidmann, J.: Absolut stetiges Spektrum bei Sturm-Liouville-Operatoren und Dirac-Systemen. Math. Z.180, 423–427 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  10. Weidmann, J.: Lineare Operatoren in Hilberträumen. Stuttgart: Teubner (1976)

    MATH  Google Scholar 

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Mantlik, F., Schneider, A. Note on the absolutely continuous spectrum of Sturm-Liouville operators. Math Z 205, 491–498 (1990). https://doi.org/10.1007/BF02571258

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