The Transformation Operator for One-Dimensional Schroedinger Operators on Almost Periodic Infinite-Gap Backgrounds

Katrin Grunert

doi:10.1016/j.jde.2010.11.012

paper

The Transformation Operator for One-Dimensional Schroedinger Operators on Almost Periodic Infinite-Gap Backgrounds

arXiv:1006.3997 · doi:10.1016/j.jde.2010.11.012

Abstract

We investigate the kernels of the transformation operators for one-dimensional Schroedinger operators with potentials, which are asymptotically close to Bohr almost periodic infinite-gap potentials.

23 pages

References in corpus (3)

Effective Pruefer Angles and Relative Oscillation Criteria
On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations
Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials