Below is the ascii version of the abstract for 02-68.
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S. Denisov, S. Kupin.
On the singular spectrum of Schrodinger
operators with decaying potentials.
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.