|
|||||
|
|
A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle |
|
| Authors: | A. Aptekarev, A. Cachafeiro,F. Marcell n |
| Affiliation: | aKeldysh Institute of Applied Mathematics, Russian Academy of Sciences, Russia;bDepartamento de Matemática Aplicada I, E.T.S. Ingenieros Industriales, Universidad de Vigo, 36280 Vigo, Spain;cDepartamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, 28911 Leganés, Spain |
| Abstract: | A scalar Riemann boundary value problem defining orthogonal polynomials on the unit circle and the corresponding functions of the second kind is obtained. The Riemann problem is used for the asymptotic analysis of the polynomials orthogonal with respect to an analytical real-valued weight on the circle. |
| Keywords: | Riemann boundary value problems Orthogonal polynomials Carathé odory function Szegő 's function |
| 本文献已被 ScienceDirect 等数据库收录！ | |