On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations

Alexander Sakhnovich

doi:10.1016/j.jde.2022.02.032

On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations

Spectral Theory 2024-04-03 v1 Mathematical Physics Classical Analysis and ODEs Functional Analysis math.MP

Authors: Alexander Sakhnovich

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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.

Keywords

canonical systems matrix string equations inverse problem titchmarsh-weyl function spectral matrix function s-nodes

Cite

@article{arxiv.2104.07612,
  title  = {On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations},
  author = {Alexander Sakhnovich},
  journal= {arXiv preprint arXiv:2104.07612},
  year   = {2024}
}

Comments

This 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

Abstract

Keywords

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