 0211 S.A.Denisov
 On the continuous analog of the Rakhmanov's theorem for
orthogonal polynomials (preliminary version).
(35K, LATEX)
Jan 7, 02

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We obtain the continuous analogs of Rakhmanov's theorem for polynomials orthogonal on the unit circle.
SturmLiouville 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 halfline,
then $q$ decays at infinity.
 Files:
0211.src(
0211.keywords ,
mparch.tex )