2104.07612Apr 15, 2021This is the concluding paper in our series of three articles dedicated to canonical systems related to matrix string equations. Two previous articles appeared in arXiv as well: see arXiv:2010.05217 and arXiv:2103.03203
On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations
Alexander Sakhnovich
Abstract
We consider canonical systems (with 2p×2p Hamiltonians H(x)≥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.