Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators
Spectral Theory
2015-11-11 v2 Mathematical Physics
math.MP
Abstract
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 summable Fourier coefficients. We use this result to improve the known dispersive estimates with integrable time decay for the time dependent Jacobi equation in the resonant case.
Keywords
Cite
@article{arxiv.1506.06555,
title = {Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators},
author = {Iryna Egorova and Markus Holzleitner and Gerald Teschl},
journal= {arXiv preprint arXiv:1506.06555},
year = {2015}
}
Comments
10 pages