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Paper detail

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

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.

preprint2012arXivOpen access
A. VolbergP. Yuditskii
math.CVmath-phmath.MPmath.SP
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A. VolbergP. Yuditskii

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