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On the continuous analog of Rakhmanov's Theorem for orthogonal polynomials

โœ Scribed by Sergey A. Denisov


Book ID
108344155
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
188 KB
Volume
198
Category
Article
ISSN
0022-1236

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โœ S.V. Khrushchev ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 411 KB

The set P of all probability measures s on the unit circle T splits into three disjoint subsets depending on properties of the derived set of {|j n | 2 ds} n \ 0 , denoted by Lim(s). Here {j n } n \ 0 are orthogonal polynomials in L 2 (ds). The first subset is the set of Rakhmanov measures, i.e., of