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Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle

โœ Scribed by Walter Van Assche


Book ID
108159020
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
220 KB
Volume
146
Category
Article
ISSN
0021-9045

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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