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

Published 26 Oct 2012 in math-ph, math.CV, math.MP, and math.SP | (1210.7069v1)

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.

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