与矩阵弦方程相关的广义正则系统：相应结构算子与 Weyl 函数的高能渐近
谱理论
2026-04-29 v2 数学物理
经典分析与常微分方程
math.MP
摘要
我们得到广义正则系统的 Titchmarsh-Weyl 函数的高能渐近，以此推广了 Gesztesy-Simon 的一项开创性结果。矩阵值振幅函数的类比在此情形下满足一个有趣的新恒等式。相应的结构算子亦得到研究。
引用
@article{arxiv.2103.03203,
title = {Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:2103.03203},
year = {2026}
}
备注
This work is an important development of our paper arXiv:2010.05217. Examples and a new Section 6 are added in the second version