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Christian Remling: Preprints
Preprints

  1. Topological properties of reflectionless Jacobi matrices.
    J. Approx. Theory 168 (2013), 1 - 17.
    Click here for the pdf file.

  2. (with I. Hur) Ergodic Jacobi matrices and conformal maps.
    Math. Phys. Anal. Geom. 15 (2012), 121 - 162.
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  3. Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov Theorem.
    Proc. Amer. Math. Soc. 139 (2011), 2175 - 2182.
    Click here for the pdf file.
    Click here for the electronic version of the published version of this article.

  4. (with A. Poltoratski) Approximation results for reflectionless Jacobi matrices.
    Int. Math. Res. Not. 16 (2011), 3575-3617.
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  5. (with A. Poltoratski) Reflectionless Herglotz functions and generalized Lyapunov exponents.
    A shorter version of this paper appeared in Comm. Math. Phys. 288 (2009), 1007 - 1021.
    Click here for the pdf or ps file of the original version (which has additional material).
    Click here for the electronic version of the published version of this article (subscription required).

  6. The absolutely continuous spectrum of one-dimensional Schrödinger operators.
    Math. Phys. Anal. Geom. 10 (2007), 359 - 373.
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  7. The absolutely continuous spectrum of Jacobi matrices.
    Annals of Math. 174 (2011), 125 - 171.
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    Click here for the electronic version of the published article (subscription required).

  8. Discrete and embedded eigenvalues for one-dimensional Schrödinger operators.
    Commun. Math. Phys. 271 (2007), 275 - 287.
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  9. Finite propagation speed and kernel estimates for Schrödinger operators.
    Proc. Amer. Math. Soc. 135 (2007), 3329 - 3340.
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  10. (with D. Damanik) Schrödinger operators with many bound states.
    Duke Math. J. 136 (2007), 51-80.
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  11. (with A. Fischer) The absolutely continuous spectrum of discrete canonical systems.
    Trans. Amer. Math. Soc. 361 (2009), 793-818.
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  12. (with A. Ben Amor) Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures.
    Int. Eq. Op. Theory 52 (2005), 395-417.
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  13. Universal bounds on spectral measures of one-dimensional Schrödinger operators.
    J. Reine Angew. Math. 564 (2003), 105-117.
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  14. Inverse spectral theory for one-dimensional Schrödinger operators: the A function.
    Math. Z. 245 (2003), 597-617.
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  15. Schrödinger operators and de Branges spaces.
    J. Funct. Anal. 196 (2002), 323-394.
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    Click here for a link to the original article at ScienceDirect (subscription is required to view the article).

  16. (with R. Killip) Reducing subspaces.
    J. Funct. Anal. 187 (2001), 396-405.
    Click here for the pdf or ps file.
    Click here for a link to the original article at IDEAL (subscription is required to view the article).

  17. (with D. Krutikov) Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure.
    Commun. Math. Phys. 223 (2001), 509 - 532.
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    Click here for a link to the original article on the web pages of CMP.

  18. (with T. Kriecherbauer) Finite gap potentials and WKB asymptotics for one-dimensional Schrödinger operators.
    Commun. Math. Phys. 223 (2001), 409 - 435.
    Click here for the pdf or ps file.
    Click here for a link to the original article on the web pages of CMP.

  19. (with H. Behncke and D. Hinton) The spectrum of differential operators of order 2n with almost constant coefficients.
    J. Differential Eq. 175 (2001), 130-162.
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    Click here for a link to the original article at IDEAL (subscription is required to view the article).