2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140635In connection to wavelet theory, we describe the peripheral spectrum of the transfer operator. The solution involves the analysis of certain representations of the algebra generated by two unitaries $U$ and $T$ that satisfy the commutation relation $UTU^{-1}=T^N$.Operator AlgebrasSpectral Theorytext