Toda maps, cocycles, and canonical systems

  • Christian Remling

    University of Oklahoma, Norman, USA
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Abstract

I present a discussion of the hierarchy of Toda flows that gives center stage to the associated cocycles and the maps they induce on the functions. In the second part, these ideas are then applied to canonical systems; an important feature of this discussion will be my proposal that the role of the shift on Jacobi matrices should now be taken over by the more general class of twisted shifts.

Cite this article

Christian Remling, Toda maps, cocycles, and canonical systems. J. Spectr. Theory 9 (2019), no. 4, pp. 1327–1365

DOI 10.4171/JST/278