Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions

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.

This work is an important development of our paper arXiv:2010.05217. Examples and a new Section 6 are added in the second version

References in corpus (2)

• On a class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl--Titchmarsh theory
• On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations

Cited by in corpus (1)

• On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations