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*J. Approx. Theory***254**(2020): pdf - (with K. Scarbrough) Oscillation theory and semibounded canonical systems.
*J. Spectral Theory***10**(2020), 1333 - 1359: pdf - (with D. Ong) Generalized Toda flows.
*Trans. Amer. Math. Soc.***371**(2019), 5069 - 5081: pdf - Toda maps, cocycles, and canonical systems.
*J. Spectral Theory***9**(2019), 1327 - 1365: pdf - (with H. Jafarkhani, E. Koyuncu, and X. Liu) Outage-optimized distributed quantization
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*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 - (with S. Grudsky and A. Rybkin) The inverse scattering transform for the KdV equation with step-like singular
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*Trans. Amer. Math. Soc.***368**(2016), 1251 - 1270: pdf - Schrödinger operators and canonical systems.

Operator Theory (ed. Daniel Alpay), Springer 2015, 623 - 630.

This is a brief review style article, somewhat informal: pdf - Topological properties of reflectionless Jacobi matrices.
*J. Approx. Theory***168**(2013), 1 - 17: pdf - (with I. Hur) Ergodic Jacobi matrices and conformal maps.
*Math. Phys. Anal. Geom.***15**(2012), 121 - 162: pdf - Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov Theorem.
*Proc. Amer. Math. Soc.***139**(2011), 2175 - 2182: pdf - (with A. Poltoratski) Approximation results for reflectionless Jacobi matrices.
*Int. Math. Res. Not.***16**(2011), 3575-3617: pdf - (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). - The absolutely continuous spectrum
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*Math. Phys. Anal. Geom.***10**(2007), 359 - 373: pdf - The absolutely continuous spectrum
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*Annals of Math.***174**(2011), 125 - 171: pdf - Discrete and embedded eigenvalues for one-dimensional
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*Commun. Math. Phys.***271**(2007), 275 - 287: pdf - Finite propagation speed and kernel estimates for
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*Proc. Amer. Math. Soc.***135**(2007), 3329 - 3340: pdf - (with D. Damanik) Schrödinger operators with many bound states.
*Duke Math. J.***136**(2007), 51-80: pdf - (with A. Fischer) The absolutely continuous spectrum
of discrete canonical systems.
*Trans. Amer. Math. Soc.***361**(2009), 793-818: pdf - (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 - Universal bounds on spectral measures of
one-dimensional Schrödinger operators.
*J. Reine Angew. Math.***564**(2003), 105-117: pdf - Inverse spectral theory for one-dimensional
Schrödinger operators: the A function.
*Math. Z.***245**(2003), 597-617: pdf - Schrödinger operators and de Branges spaces.
*J. Funct. Anal.***196**(2002), 323-394: pdf - (with R. Killip) Reducing subspaces.
*J. Funct. Anal.***187**(2001), 396-405: pdf - (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 - (with T. Kriecherbauer) Finite gap potentials and WKB asymptotics
for one-dimensional Schrödinger operators.
*Commun. Math. Phys.***223**(2001), 409 - 435: pdf - (with H. Behncke and D. Hinton) The spectrum of differential
operators of order 2n with almost constant coefficients.
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