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On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations (2104.07612v1)
Published 15 Apr 2021 in math.SP, math-ph, math.CA, math.FA, and math.MP
Abstract: We consider canonical systems (with $2p\times 2p$ 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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