JournalsjstVol. 16, No. 2pp. 663–707

Construction of Toda flow via Sato–Segal–Wilson theory

  • Shuo Zhang

    Nanjing University, P. R. China

  • Shin'ichi Kotani

    Osaka University, Japan

  • Jiahao Xu

    Nanjing University, P. R. China
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Abstract

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

Cite this article

Shuo Zhang, Shin'ichi Kotani, Jiahao Xu, Construction of Toda flow via Sato–Segal–Wilson theory. J. Spectr. Theory 16 (2026), no. 2, pp. 663–707

DOI 10.4171/JST/607