Alexei Rybkin
On the boundary control approach to invese spectral and scattering theory for Schrodinger operators
(222K, AMSTeX)

ABSTRACT.  We link boundary control theory and inverse spectral theory for the Schr dinger operator H=-∂_{x} +q(x) on L (0,∞) with Dirichlet boundary condition at x=0. This provides a shortcut to some results on inverse spectral theory due to Simon, Gesztesy-Simon and Remling. The approach also has a clear physical interpritation in terms of boundary control theory for the wave equation.