The 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.
|Autori:||BONANNO C; GRAFFI S; ISOLA S|
|Titolo:||Spectral analysis of transfer operators associated to Farey fractions|
|Anno del prodotto:||2008|
|Digital Object Identifier (DOI):||10.4171/RLM/505|
|Appare nelle tipologie:||1.1 Articolo in rivista|