English

Construction of Toda flow via Sato-Segal-Wilson theory

Spectral Theory 2024-12-20 v1

Abstract

A Toda flow is constructed on a space of bounded initial data through Sato-Segal-Wilson theory. The flow is described by the Weyl functions of the underlying Jacobi operators. This is a continuation of the previous work on the KdV flow.

Keywords

Cite

@article{arxiv.2412.14463,
  title  = {Construction of Toda flow via Sato-Segal-Wilson theory},
  author = {Shuo Zhang and Shinichi Kotani and Jiahao Xu},
  journal= {arXiv preprint arXiv:2412.14463},
  year   = {2024}
}