arXiv subjects

Markus Holzleitner

Publications and source records attributed to Markus Holzleitner.

20 records · Page 2Linked to original sources

arXiv2015

Zero Energy Scattering for One-Dimensional Schrödinger Operators and Applications to Dispersive Estimates

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 of functions with integrable Fourier transforms. We use this result to improve the known dispersive estimates with integrable time decay for the one-dimensional Schrödinger equation in the resonant case.

math.SP↗

arXiv2015

Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators

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.

math.SP↗