Orthogonal Matrix Laurent Polynomials
✍ Scribed by K. K. Simonov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2006
- Tongue
- English
- Weight
- 126 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let [h n (z)] be the sequence of polynomials, satisfying where \* n # [0, 2n], n # N. For a wide class of weights d\(x) and under the assumption lim n Ä \* n Â(2n)=% # [0, 1], two descriptions of the zero asymptotics of [h n (z)] are obtained. Furthermore, their analogues for polynomials orthogonal
The strong Chebyshev distribution and the Chebyshev orthogonal Laurent polynomials are examined in detail. Explicit formulas are derived for the orthogonal Laurent polynomials, uniform convergence of the associated continued fraction is established, and the zeros of the Chebyshev L-polynomials are g
## a b s t r a c t We consider orderings of nested subspaces of the space of Laurent polynomials on the real line, more general than the balanced orderings associated with the ordered bases {1, z -1 , z, z -2 , z 2 , . . .} and {1, z, z -1 , z 2 , z -2 , . . .}. We show that with such orderings th