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تسجيل مستخدم جديدGeneralised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions
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تأليف
Alexander Sakhnovich
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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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We consider canonical systems (with $2ptimes 2p$ Hamiltonians $H(x)geq 0$), which correspond to matrix string equations. Direct and inverse problems are solved in terms of Titchmarsh--Weyl and spectral matrix functions and related $S$-nodes. Procedures for solving inverse problems are given.
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