27 citations · 102 across the 6 of their papers we have counts for
6 papers
Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
Iryna Egorova, Johanna Michor, Gerald Teschl
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap…
Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy
Fritz Gesztesy, Helge Holden, Johanna Michor +1
We derive a systematic and recursive approach to local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik (AL) hierarchy. Our methods rely on a recursive approa…
Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy
Fritz Gesztesy, Helge Holden, Johanna Michor +1
We provide a detailed derivation of all complex-valued algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. In addition, we survey a recursive construction of t…
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.
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…
Reconstructing Jacobi Matrices from Three Spectra
J. Michor, G. Teschl
Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row. We give neccessary and sufficient conditions for the spectra of the original matrix plus the spectra o…