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arXiv · 2103.03203

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

Alexander Sakhnovich
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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.

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BibTeXRIS

Alexander Sakhnovich. 2021-03-04. Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions. https://doi.org/10.1007/s11785-025-01687-6

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