281 citations · 881 across the 12 of their papers we have counts for
4 papers · 1 filter
On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy
Johanna Michor, Gerald Teschl
We give a simple algebraic proof that the two different Lax pairs for the Kac-van Moerbeke hierarchy, constructed from Jacobi respectively super-symmetric Dirac-type difference ope…
Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background
Iryna Egorova, Johanna Michor, Gerald Teschl
We develop direct and inverse scattering theory for Jacobi operators with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients o…
Effective Pruefer Angles and Relative Oscillation Criteria
Helge Krueger, Gerald Teschl
We present a streamlined approach to relative oscillation criteria based on effective Pruefer angles adapted to the use at the edges of the essential spectrum. Based on this we pro…
Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials
Anne Boutet de Monvel, Iryna Egorova, Gerald Teschl
We develop direct and inverse scattering theory for one-dimensional Schroedinger operators with steplike potentials which are asymptotically close to different finite-gap periodic…