Construction of solutions of Toda lattices by the classical moment problem
Spectral Theory
2025-05-13 v1 Mathematical Physics
math.MP
Abstract
Making use of formulas of J. Moser for a finite-dimensional Toda lattices, we derive the evolution law for moments of the spectral measure of the semi-infinite Jacobi operator associated with the Toda lattice. This allows us to construct solutions of semi-infinite Toda lattices for a wide class of unbounded initial data by using well-known results from the classical moment problem theory.
Cite
@article{arxiv.2505.07589,
title = {Construction of solutions of Toda lattices by the classical moment problem},
author = {Alexander Mikhaylov and Victor Mikhaylov},
journal= {arXiv preprint arXiv:2505.07589},
year = {2025}
}