paper

1-dimensional Schrodinger operators with complex potentials

arXiv:1905.00932 · doi:10.1007/s00023-020-00901-9

Abstract

We discuss 1-dimensional Schrodinger operators with complex and locally integrable potentials that may have an arbitrary behavior at (finite or infinite) endpoints. The main tool of our analysis are Green's operators, that is, their various right inverses.