𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Uniform Boundedness and Uniform Asymptotics for Orthogonal Polynomials on the Unit Circle

✍ Scribed by Boris Golinskii; Leonid Golinskii

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
125 KB
Volume
220
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Asymptotic Behavior of Sobolev-Type Orth
Asymptotic Behavior of Sobolev-Type Orthogonal Polynomials on the Unit Circle
✍ Ana FoulquiΓ© Moreno; Francisco MarcellΓ‘n; K. Pan πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 184 KB

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

Ratio and Relative Asymptotics of Polyno
Ratio and Relative Asymptotics of Polynomials Orthogonal on an Arc of the Unit Circle
✍ M Bello HernΓ‘ndez; G LΓ³pez Lagomasino πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 483 KB

Ratio and relative asymptotics are given for sequences of polynomials orthogonal with respect to measures supported on an arc of the unit circle, where their absolutely continuous component is positive almost everywhere. The results obtained extend to this setting known ones given by Rakhmanov and M

Classification Theorems for General Orth
Classification Theorems for General Orthogonal Polynomials on the Unit Circle
✍ S.V. Khrushchev πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 411 KB

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