Scattering theory and matrix orthogonal polynomials on the real line
β Scribed by J. S. Geronimo
- Book ID
- 112570197
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 828 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0278-081X
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
Let { n } n 0 be a sequence of monic orthogonal polynomials on the unit circle (OPUC) with respect to a symmetric and finite positive Borel measure d on [0, 2 ] and let -1, 0 , 1 , 2 , . . . be the associated sequence of Verblunsky coefficients. In this paper we study the sequence { n } n 0 of monic