On the Use of Structural Zeros in Orthogonal Factorization
β Scribed by Barlow, Jesse L.
- Book ID
- 118185294
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1990
- Weight
- 189 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0196-5204
- DOI
- 10.1137/0911034
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let p n Γ°xΓ be the orthonormal polynomials associated to a measure dm of compact support in R: If EesuppΓ°dmΓ; we show there is a d40 so that for all n; either p n or p nΓΎ1 has no zeros in Γ°E Γ d; E ΓΎ dΓ: If E is an isolated point of suppΓ°mΓ; we show there is a d so that for all n; either p n or p nΓΎ
## Abstract We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials. This follows from an extension of a result of Alfaro and Vigil (which answered a qu