✦ LIBER ✦
Akhiezer's Orthogonal Polynomials and Bernstein–Szegő Method for a Circular Arc
✍ Scribed by Leonid Golinskii
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 437 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
Orthogonal polynomials theory on a circular arc was apparently first developed by N. I. Akhiezer, who announced his asymptotic formulas for orthogonal polynomials on and off the support of orthogonality measure in a short note in Doklady AN SSSR. We present here a rigorous exposition of Akhiezer's result and outline some mild generalizations of the theory.