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math.SP2015★ 4 cited
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…
math.SP2015★ 2 cited
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…