English

Toda maps, cocycles, and canonical systems

Spectral Theory 2018-01-18 v2

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 mm 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

@article{arxiv.1712.00503,
  title  = {Toda maps, cocycles, and canonical systems},
  author = {Christian Remling},
  journal= {arXiv preprint arXiv:1712.00503},
  year   = {2018}
}

Comments

minor revisions

R2 v1 2026-06-22T23:04:12.356Z