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

2021/03/04 by Alexander Sakhnovich, Sakhnovich, Alexander
Mathematics · #Spectral Theory in Mathematical Physics #advanced mathematical theories #Random Matrices and Applications

paper · doi:10.48550/arxiv.2103.03203

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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