Construction of solutions of Toda lattices by the classical moment problem
arXiv:2505.07589 · doi:10.1007/s10958-024-07294-8
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.
References in corpus (4)
- Dynamical inverse problem for the discrete Schrödinger operator
- Inverse dynamic problems for canonical systems and de Branges spaces
- On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time
- On an application of the Boundary control method to classical moment problems