- 02-11 S.A.Denisov
- On the continuous analog of the Rakhmanov's theorem for
orthogonal polynomials (preliminary version).
Jan 7, 02
(auto. generated ps),
of related papers
Abstract. We obtain the continuous analogs of Rakhmanov's theorem for polynomials orthogonal on the unit circle.
Sturm-Liouville operators and Krein systems are considered. Under some conditions on the potential
$q$ of the S.L. operator, we prove that if a.c. component of the spectrum fills the whole half-line,
then $q$ decays at infinity.