Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions
Spectral Theory
2026-04-29 v2 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We obtain high energy asymptotics of Titchmarsh-Weyl functions of the generalised canonical systems generalising in this way a seminal Gesztesy-Simon result. The matrix valued analog of the amplitude function satisfies in this case an interesting new identity. The corresponding structured operators are studied as well.
Keywords
Cite
@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}
}
Comments
This work is an important development of our paper arXiv:2010.05217. Examples and a new Section 6 are added in the second version