2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135599The 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.28 pages, 1 figureMathematical PhysicsDynamical Systems58F20, 58F25, 11F72, 11M26text