54 citations · 342 across the 26 of their papers we have counts for
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Inverse scattering theory for Schrödinger operators with steplike potentials
Iryna Egorova, Zoya Gladka, Till Luc Lange +1
We study the direct and inverse scattering problem for the one-dimensional Schrödinger equation with steplike potentials. We give necessary and sufficient conditions for the scatte…
Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators
Iryna Egorova, Markus Holzleitner, Gerald Teschl
We show that for a Jacobi operator with coefficients whose (j+1)'th moments are summable the j'th derivative of the scattering matrix is in the Wiener algebra of functions with sum…
Zero Energy Scattering for One-Dimensional Schrödinger Operators and Applications to Dispersive Estimates
Iryna Egorova, Markus Holzleitner, Gerald Teschl
We show that for a one-dimensional Schrödinger operator with a potential whose (j+1)'th moment is integrable the j'th derivative of the scattering matrix is in the Wiener algebra o…