庞加莱定理、拟正交多项式与压缩乘法算子的数值域
谱理论
2021-08-11 v2
摘要
近期已有大量文献将庞加莱定理与椭圆、布拉施克乘积及数值域相联系，例如近期著作[11]中所总结。我们展示如何借助单位圆上正交多项式（OPUC）理论的思想来理解这些结果，进而为 OPUC 理论提供新的见解。
引用
@article{arxiv.1810.13357,
title = {Poncelet's Theorem, Paraorthogonal Polynomials and the Numerical Range of Compressed Multiplication Operators},
author = {Andrei Martinez-Finkelshtein and Brian Simanek and Barry Simon},
journal= {arXiv preprint arXiv:1810.13357},
year = {2021}
}
备注
46 pages, 4 figures; minor revisions from v1; accepted for publication in Adv. Math