C. Remling
Bounds on embedded singular spectrum for
one-dimensional Schroedinger operators
(30K, LaTeX 2e)

ABSTRACT.  Consider the 1D Schroedinger equation -y''+Vy=Ey with
potential V bounded by |V(x)| < C(1+x)^{-c}.
We prove that the solutions y satisfy the WKB asymptotic
formulae off a set of energies E of Hausdorff dimension
\le 2(1-c). This gives restrictions on the structure of possible
embedded singular spectrum.