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arXiv · 2505.07589

Construction of solutions of Toda lattices by the classical moment problem

Alexander Mikhaylov·Victor Mikhaylov
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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.

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Alexander Mikhaylov, Victor Mikhaylov. 2025-05-12. Construction of solutions of Toda lattices by the classical moment problem. https://doi.org/10.1007/s10958-024-07294-8

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