EnglishThe 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 interni: | BONANNO, CLAUDIO |
| 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 |
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