Orthogonal Laurent polynomials and strong moment theory: a survey
✍ Scribed by William B. Jones; Olav Njåstad
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 262 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
On the space, A of Laurent polynomials we consider a linear functional L which is positive deÿnite on (0; ∞) and is deÿned in terms of a given bisequence, {c k } ∞ k=-∞ . For each ! ¿ 0, we deÿne a sequence {Nn(z; !)} ∞ n=0 of rational functions in terms of two sequences of orthogonal Laurent polyno
The strong Stieltjes moment problem for a bisequence {c n } ∞ n=-∞ consists of finding positive Orthogonal Laurent polynomials associated with the problem play a central role in the study of solutions. When the problem is indeterminate, the odd and even sequences of orthogonal Laurent polynomials s
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