Below is the ascii version of the abstract for 02-68. The html version should be ready soon.

S. Denisov, S. Kupin.
On the singular spectrum of Schrodinger 
operators with decaying potentials.
(43K, LATEX)

ABSTRACT.  The relation between Hausdorff dimension of the singular spectrum 
of a Schrodinger operator and the decay of its potential has been 
extensively studied. In this work, we address similar questions 
from a different point of view. Our approach relies on the study of 
the so-called Krein systems. For Schrodinger operators, we show that 
some bounds on the singular spectrum, obtained recently by Remling, 
are optimal in L^p (R^+) scale.