Spectral analysis of transfer operators associated to Farey fractions

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dc.creatorBonanno, Claudio
dc.creatorGraffi, Sandro
dc.creatorIsola, Stefano
dc.date2007-08-05
dc.date.accessioned2026-07-07T08:22:16Z
dc.date.available2026-07-07T08:22:16Z
dc.descriptionThe spectrum of a one-parameter family of signed transfer operators associated to the Farey map is studied in detail. We show that when acting on a suitable Hilbert space of analytic functions they are self-adjoint and exhibit absolutely continuous spectrum and no non-zero point spectrum. Polynomial eigenfunctions when the parameter is a negative half-integer are also discussed.
dc.description28 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0708.0686
dc.identifierhttp://arxiv.org/abs/0708.0686
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135599
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject58F20, 58F25, 11F72, 11M26
dc.titleSpectral analysis of transfer operators associated to Farey fractions
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