The Wavelet Galerkin Operator

Details The Wavelet Galerkin Operator The Wavelet Galerkin Operator

2003-02-13

arxiv.org/abs/math/0302165v1

J. Operator Theory 51 (2004), no. 1, 49--70

Mathematics

Operator Algebras

Scientific paper

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 $UTU^{-1}=T^N$.

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