121 citations · 569 across the 23 of their papers we have counts for
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nlin.SI2005★ 27 cited
Inverse Scattering Transform for the Toda Hierarchy with Quasi-Periodic Background
Iryna Egorova, Johanna Michor, Gerald Teschl
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy in the case of a quasi-periodic finite-gap background solution.
math.SP2005★ 11 cited
Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials
David Damanik, Gerald Teschl
We consider discrete one-dimensional Schroedinger operators whose potentials decay asymptotically like an inverse square. In the super-critical case, where there are infinitely man…
math.SP2005★ 11 cited
Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background
Johanna Michor, Gerald Teschl
We investigate trace formulas for Jacobi operators which are trace class perturbations of quasi-periodic finite-gap operators using Krein's spectral shift theory. In particular we…