Fritz Gesztesy and Maxim Zinchenko
Local Spectral Properties of Reflectionless Jacobi, CMV, and 
Schr\"odinger Operators
(94K, LaTeX)

ABSTRACT.  We prove that Jacobi, CMV, and Schr\"odinger operators, which are 
reflectionless on a homogeneous set $\cE$ (in the sense of Carleson), 
under the assumption of a Blaschke-type condition on their discrete 
spectra accumulating at $\cE$, have purely absolutely continuous 
spectrum on $\cE$.