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Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions (2103.03203v2)

Published 4 Mar 2021 in math.SP, math-ph, math.CA, and 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.

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