%0 Journal Article %T The Wavelet Galerkin Operator %A Dorin Ervin Dutkay %J Mathematics %D 2003 %I arXiv %X In 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 $UTU^{-1}=T^N$. %U http://arxiv.org/abs/math/0302165v1