English

Kotani-Last problem and Hardy spaces on surfaces of Widom type

Mathematical Physics 2012-10-29 v1 Complex Variables math.MP Spectral Theory

Abstract

It is a small theory of non almost periodic ergodic families of Jacobi matrices with pure (however) absolutely continuous spectrum. And the reason why this effect may happen: under our "axioms" we found an analytic condition on the resolvent set that is responsible for (exactly equivalent to) this effect.

Keywords

Cite

@article{arxiv.1210.7069,
  title  = {Kotani-Last problem and Hardy spaces on surfaces of Widom type},
  author = {A. Volberg and P. Yuditskii},
  journal= {arXiv preprint arXiv:1210.7069},
  year   = {2012}
}