- (with L. Banyai, D.B. Tran Thoai, and H. Haug)
Interband
quantum kinetics with LO-phonon scattering in a laser pulse excited
semiconductor, Phys. stat. sol. (b) 173 (1992),
149 - 157.
- Spektraltheorie gewöhnlicher
Differentialoperatoren
mit Hilfe der m-Funktion (German), Ph.D. thesis, Osnabrück, 1996.
- Geometric characterization of singular
self-adjoint
boundary conditions for Hamiltonian systems, Appl.
Anal. 60 (1996), 49 - 61.
- Essential spectrum and L2-solutions
of one-dimensional
Schrödinger operators, Proc. Amer. Math.
Soc. 124 (1996),
2097 - 2100.
- Relationships between the m-function and
subordinate
solutions of second order differential operators,
J. Math. Anal. Appl. 206 (1997), 352 - 363.
- A probabilistic approach to
one-dimensional Schrödinger
operators with sparse potentials, Comm.
Math. Phys. 185 (1997), 313 - 323.
- (with H. Behncke) Asymptotic integration
of linear differential
equations, J. Math. Anal. Appl. 210 (1997), 585 - 597.
- Some Schrödinger operators with
power-decaying potentials
and pure point spectrum, Comm. Math. Phys. 186 (1997),
481 - 493.
- (with M. Christ and A. Kiselev) The absolutely
continuous spectrum of one-dimensional Schrödinger
operators with decaying potentials,
Math. Research Letters 4 (1997), 719 - 723.
- Some Schrödinger operators with power-decaying
potentials and pure point spectrum, II. The discrete case,
Helv. Phys. Acta 71 (1998), 200 - 213.
- The absolutely continuous spectrum of one-dimensional
Schrödinger operators with decaying potentials,
Comm. Math. Phys. 193 (1998), 151 - 170.
- Spectral analysis of higher order
differential operators, I.
General properties of the M-function,
J. London Math. Soc. 58 (1998), 367 - 380.
- (with A. Kiselev and B. Simon) Effective
perturbation methods for one-dimensional Schrödinger operators,
J. Differential Eq. 151 (1999), 290 - 312.
- Embedded singular continuous spectrum
for one-dimensional Schrödinger operators,
Trans. Amer. Math. Soc. 351 (1999), 2479 - 2497.
- One-dimensional Schrödinger operators with decaying
potentials, in Operator Theory: Advances and Applications,
vol. 108: Mathematical Results in Quantum Mechanics
(Birkhäuser 1999), pg. 343 - 349.
- Spectral analysis of higher order
differential operators, II.
Fourth order equations, J. London Math. Soc. 59
(1999), 188 - 206.
- Bounds on embedded singular spectrum for one-dimensional
Schrödinger operators, Proc.
Amer. Math. Soc. 128 (2000), 161 - 171.
- (with S. Hassi and H. de Snoo)
Subordinate solutions and spectral measures of
canonical systems, Int. Eq. Op. Theory 37 (2000), 48 - 63.
- Schrödinger operators with decaying potentials: some
counterexamples, Duke Math. J. 105 (2000), 463 - 496.
- (with H. Behncke) Uniform asymptotic integration of a
family of linear differential systems,
Math. Nachr. 225 (2001), 5 - 17.
- (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.
- (with T. Kriecherbauer) Finite gap potentials and WKB asymptotics
for one-dimensional Schrödinger operators,
Comm. Math. Phys. 223 (2001), 409 - 435.
- (with D. Krutikov) Schrödinger operators with sparse
potentials: asymptotics of the Fourier transform of the spectral
measure, Comm. Math. Phys. 223 (2001), 509 - 532.
- (with R. Killip) Reducing subspaces,
J. Funct. Anal. 187 (2001), 396 - 405.
- Schrödinger operators and de Branges spaces,
J. Funct. Anal. 196 (2002), 323 - 394.
- Inverse spectral theory for
one-dimensional Schrödinger
operators: the A function,
Math. Z. 245 (2003), 597 - 617.
- Universal bounds on spectral measures
of one-dimensional Schrödinger
operators, J. Reine Angew. Math. 564 (2003), 105 - 117.
- (with A. Ben Amor) Direct and inverse spectral theory of one-dimensional Schrödinger
operators with measures,
Int. Eq. Op. Theory 52 (2005), 395 - 417.
- (with D. Damanik) Schrödinger operators with many bound states,
Duke Math. J. 136 (2007), 51 - 80.
- Discrete and embedded eigenvalues for
one-dimensional Schrödinger operators,
Comm. Math. Phys. 271 (2007), 275 - 287.
- Finite propagation speed and kernel estimates for
Schrödinger operators,
Proc. Amer. Math. Soc. 135 (2007), 3329 - 3340.
- The absolutely continuous spectrum
of one-dimensional Schrödinger operators,
Math. Phys. Anal. Geom. 10 (2007), 359 - 373.
- (with A. Fischer) The absolutely continuous spectrum
of discrete canonical systems,
Trans. Amer. Math. Soc. 361 (2009), 793 - 818.
- (with A. Poltoratski) Reflectionless Herglotz functions and Jacobi matrices,
Comm. Math. Phys. 288 (2009), 1007 - 1021.
- Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov Theorem,
Proc. Amer. Math. Soc. 139 (2011), 2175 - 2182.
- The absolutely continuous spectrum of Jacobi matrices,
Annals of Math. 174 (2011), 125 - 171.
- (with A. Poltoratski) Approximation results for reflectionless Jacobi matrices,
Int. Math. Res. Not. 16 (2011), 3575 - 3617.
- (with I. Hur) Ergodic Jacobi matrices and conformal maps,
Math. Phys. Anal. Geom. 15 (2012), 121 - 162.
- Topological properties of reflectionless Jacobi matrices,
J. Approx. Theory 168 (2013), 1 - 17.
- Schrödinger operators and canonical systems, in Operator Theory (ed. Daniel Alpay), Springer 2015,
pg. 623 - 630.
- (with I. Hur and M. McBride) The Marchenko representation of reflectionless Jacobi and
Schrödinger operators,
Trans. Amer. Math. Soc. 368 (2016), 1251 - 1270.
- Generalized reflection coefficients,
Comm. Math. Phys. 337 (2015), 1011 - 1026.
- (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), 14 pp.
- Spectral theory of canonical systems, de Gruyter Studies in Mathematics 70, de Gruyter, 2018.
- (with D. Ong) Generalized Toda flows,
Trans. Amer. Math. Soc. 371 (2019), 5069 - 5081.
- Toda maps, cocycles, and canonical systems,
J. Spectral Theory 9 (2019), 1327 - 1365.
- (with K. Scarbrough) The essential spectrum of canonical systems,
J. Approx. Theory 254 (2020).
- (with K. Scarbrough) Oscillation theory and semibounded canonical systems,
J. Spectral Theory 10 (2020), 1333 - 1359.
- (with M. Forester) Topological properties of reflectionless canonical systems,
submitted.
The more recent papers (starting with 21)
can be downloaded. Please go to
preprints.