关于单位圆上正交多项式的零点
经典分析与常微分方程
2011-09-21 v2
摘要
设为单位圆盘中的序列。已知在单位圆上存在唯一的正Borel测度，使得正交多项式对每个满足[\Phi_n(z_n)=0]。正交性测度的特征与正交多项式的渐近性质由序列的渐近行为给出。特别关注了周期为二和三的零点的周期序列。
引用
@article{arxiv.1108.6130,
title = {On the zeros of orthogonal polynomials on the unit circle},
author = {María Pilar Alfaro and Manuel Bello-Hernández and Jesús María Montaner},
journal= {arXiv preprint arXiv:1108.6130},
year = {2011}
}
备注
25 pages. Summited for publication. Some typos have been corrected