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Inverse Problem for Polynomials Orthogonal on the Unit Circle

✍ Scribed by J. S. Geronimo; R. Johnson


Publisher
Springer
Year
1998
Tongue
English
Weight
292 KB
Volume
193
Category
Article
ISSN
0010-3616

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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