Noncommutative Perron-Frobenius-Ruelle theorem, two weight Hilbert transform, and almost periodicity

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dc.creatorVolberg, A.
dc.creatorYuditskii, P.
dc.date2004-08-19
dc.date.accessioned2026-07-07T05:11:24Z
dc.date.available2026-07-07T05:11:24Z
dc.descriptionWe consider the Jacobi matrix generated by a balanced measure of hyperbolic polynomial map. The conjecture of Bellissard says that this matrix should have an extremely strong periodicity property. We show how this conjecture is related to a certain noncommutative version of Bowen--Ruelle theory, and how the two weight Hilbert transform naturally appears in this context.
dc.identifierhttps://arxiv.org/abs/math/0408259
dc.identifierhttp://arxiv.org/abs/math/0408259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72227
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject42B20, 42C15, 42A50, 47B35, 47B38
dc.titleNoncommutative Perron-Frobenius-Ruelle theorem, two weight Hilbert transform, and almost periodicity
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