Houston, TX 77005
4:00 p.m. Wednesday, Feb. 19, 2014
On Campus | Alumni
I will discuss (a pair of) general reflection coefficients R. These can be defined for arbitrary one-dimensional differential or difference operators, not necessarily of scattering type in the traditional sense. The operator will be reflectionless on precisely the set where R=0. I am now especially interested in what happens to R when a limit of operators is taken. This project may be viewed as an attempt to follow up on recent work by Kotani and myself.