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

Publication date: 4 March 2021

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.

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Equations involving linear operators, with operator unknowns (47A62) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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