Mass Points of Measures and Orthogonal Polynomials on the Unit Circle
β Scribed by Leonid Golinskii
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 179 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
Properties of second kind polynomials, and, in particular, conditions for second kind measures to be absolutely continuous are investigated. The asymptotic representation for second kind polynomials is obtained. Examples of generalized Jacobi weighted functions are considered. 1995 Academic Press. I
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