Homepage
Christian Remling: Preprints
Preprints

  1. (with J. Zeng) Reflectionless Dirac operators and canonical systems. pdf

  2. (with M. Forester) Topological properties of reflectionless canonical systems. pdf

  3. (with K. Scarbrough) The essential spectrum of canonical systems.
    J. Approx. Theory 254 (2020): pdf

  4. (with K. Scarbrough) Oscillation theory and semibounded canonical systems.
    J. Spectral Theory 10 (2020), 1333 - 1359: pdf

  5. (with D. Ong) Generalized Toda flows.
    Trans. Amer. Math. Soc. 371 (2019), 5069 - 5081: pdf

  6. Toda maps, cocycles, and canonical systems.
    J. Spectral Theory 9 (2019), 1327 - 1365: pdf

  7. (with H. Jafarkhani, E. Koyuncu, and X. Liu) Outage-optimized distributed quantization of multicast beamforming vectors.
    IEEE Trans. Wireless Comm. 16 (2017), 2069 - 2082.
    This is an engineering (communication theory) paper; my contributions are minuscule, but I was generously invited to be a coauthor anyway: pdf

  8. (with S. Grudsky and A. Rybkin) The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles.
    J. Math. Phys. 56 (2015): pdf

  9. Generalized reflection coefficients.
    Comm. Math. Phys. 337 (2015), 1011 - 1026: pdf

  10. (with I. Hur and M. McBride) The Marchenko representation of reflectionless Jacobi and Schrödinger operators.
    Trans. Amer. Math. Soc. 368 (2016), 1251 - 1270: pdf

  11. Schrödinger operators and canonical systems.
    Operator Theory (ed. Daniel Alpay), Springer 2015, 623 - 630.
    This is a brief review style article, somewhat informal: pdf

  12. Topological properties of reflectionless Jacobi matrices.
    J. Approx. Theory 168 (2013), 1 - 17: pdf

  13. (with I. Hur) Ergodic Jacobi matrices and conformal maps.
    Math. Phys. Anal. Geom. 15 (2012), 121 - 162: pdf

  14. Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov Theorem.
    Proc. Amer. Math. Soc. 139 (2011), 2175 - 2182: pdf

  15. (with A. Poltoratski) Approximation results for reflectionless Jacobi matrices.
    Int. Math. Res. Not. 16 (2011), 3575-3617: pdf

  16. (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 file of the original version (which has additional material).

  17. The absolutely continuous spectrum of one-dimensional Schrödinger operators.
    Math. Phys. Anal. Geom. 10 (2007), 359 - 373: pdf

  18. The absolutely continuous spectrum of Jacobi matrices.
    Annals of Math. 174 (2011), 125 - 171: pdf

  19. Discrete and embedded eigenvalues for one-dimensional Schrödinger operators.
    Commun. Math. Phys. 271 (2007), 275 - 287: pdf

  20. Finite propagation speed and kernel estimates for Schrödinger operators.
    Proc. Amer. Math. Soc. 135 (2007), 3329 - 3340: pdf

  21. (with D. Damanik) Schrödinger operators with many bound states.
    Duke Math. J. 136 (2007), 51-80: pdf

  22. (with A. Fischer) The absolutely continuous spectrum of discrete canonical systems.
    Trans. Amer. Math. Soc. 361 (2009), 793-818: pdf

  23. (with A. Ben Amor) Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures.
    Int. Eq. Op. Theory 52 (2005), 395-417: pdf

  24. Universal bounds on spectral measures of one-dimensional Schrödinger operators.
    J. Reine Angew. Math. 564 (2003), 105-117: pdf

  25. Inverse spectral theory for one-dimensional Schrödinger operators: the A function.
    Math. Z. 245 (2003), 597-617: pdf

  26. Schrödinger operators and de Branges spaces.
    J. Funct. Anal. 196 (2002), 323-394: pdf

  27. (with R. Killip) Reducing subspaces.
    J. Funct. Anal. 187 (2001), 396-405: pdf

  28. (with D. Krutikov) Schrödinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure.
    Commun. Math. Phys. 223 (2001), 509 - 532: pdf

  29. (with T. Kriecherbauer) Finite gap potentials and WKB asymptotics for one-dimensional Schrödinger operators.
    Commun. Math. Phys. 223 (2001), 409 - 435: pdf

  30. (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: pdf