We study the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product on the unit circle is a M\_M positive definite matrix or a positive semidefinite diagonal block matrix, M=l 1 + } } } +l m +m, d+ belongs to a certain class of measures, and
β¦ LIBER β¦
Strong Asymptotics for the Continuous Sobolev Orthogonal Polynomials on the Unit Circle
β Scribed by A. Aptekarev; E. Berriochoa; A. Cachafeiro
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 110 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0021-9045
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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